What is the volume of this sphere?
Use A 2 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
hope this will help you ( ◜‿◝ )♡
Step-by-step explanation:
[tex]volume = \frac{4}{3} \times \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times ( {10}^{3} ) \\ = 4186.666mm {}^{3} [/tex]
[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]
[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]
In this question the radius is given so we'll simply have to substitute and solve.
Let's solve!
Instead of π we are asked to use 3.14
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]
Calculator value:
[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]
Now, we have to round off to the nearest hundredth.
The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.
Final answer:
[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]
Hence, the volume of the given sphere is 4186.67 cubic millimeters.
Related Questions
Stuck on this question:
Solve 6(2y-3)-10=2y
Answers
Answer:
Exact form: y = [tex]\frac{14}{5}[/tex]
Decimal form: y = 2.8
Step-by-step explanation:
Distribute:
6(2y - 3) - 10 = 2y
12y - 18 - 10 = 2y
Subtract the numbers:
12y - 18 - 10 = 2y
12y - 28 = 2y
Add 28 to both sides:
12y - 28 = 2y
12y - 28 + 28 = 2y + 28
Simplify:
Add the numbers
12y = 2y + 28
Subtract 2y from both sides:
12y = 2y + 28
12y - 2y = 2y + 28 - 2y
Simplify:
Combine like terms
10y = 28
Divide both sides by the same factor:
10y = 28
10y/10 = 28/10
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
y = 14/5
Find the height of the triangle. Round the answer to one decimal place.
Answers
Answer:
x = 6.4
Step-by-step explanation:
Taking the sin ratio of the angle :
sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4is this image a function
Answers
The mapping diagram given is a function.
-Hope it helps!!
use technology to find the solution to the system:
Answers
Answer:
Y = 2
X = - 2
Step-by-step explanation:
8x-4y= - 24 eq 1
4x-12y = - 32 eq 2
Multiply equation 2 by (×-2)
Then
-8x +24 y = 64. Eq 3
Add eq 1 to eq 3
20y = 40 then y = 2
From eq 1
8x - 4(2) = - 24
8x = - 16
X = - 2
What is the constant of proportionality between y and a in the graph below?
2
10
1 2 3 4 5 6 7 8 9 10
86
7
6
5
4
3
2
1
0
Xeno
X
1/2
21/3
|
3/2
Answers
The constant of proportionality between y and x in the graph is 3/2 option third is correct.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have a graph shown in the picture.
As we can see, the given graph shows a line, which passes through (0, 0)
y = ax
a is the constant of proportionality.
We have two points (0, 0) and (6, 9) (from the graph)
From the above two points, we can find the equation of a line.
y = (9/6)x
y = (3/2)x
The value of the constant of proportionality is 3/2
Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.
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is -8x a binomial or trinomial or monomial or polynomial
Answers
Answer:
monomial
Step-by-step explanation:
Geometry, need help asap please
Answers
Answer: 15.01
Step-by-step explanation:
If 0.8Vx160=0.9Vx45
Get the value of V
Answers
Answer:
V=0
Hope it helps
Amelia's car used 16 gallons to travel 656 miles. How many gallons of gas would she need to travel 533 miles?
Answers
Answer:
13 gallons of gas.
Step-by-step explanation:
If amelia used 16 gallons of gas for 656 miles, she is traveling 41 miles per gallon. (656 divided by 16). So we take the amount she needs to travel which is 533, and divide it by 41 because 41 miles is equal to one pound of gas, so, 533 divided by 41 is 13, she needs 13 gallons of gas to travel 533 miles.
Taliya secured a position with att for her summer jobshe was in charge of placing a cell tower that was equidistant to an elementary school, shopping mall, and starbucks. the three locations form a triangular pattern on the map. if taliya were to use a center of triangle, which should she use for the cell tower placement that would be equidistant from those three locations on the map.
Answers
The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
What is circumcenter of a triangle?The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.
Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.
The three locations form a triangular pattern on the map. Now the Taliya were to use a center of triangle.
Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
Learn more about the circumcenter of a triangle here;
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According to a recent survey, it is known that 90% of people enjoy disney movies, 70% of
people enjoy pixar movies, and 65% of people enjoy both. what is the probability that a
randomly selected individual enjoys disney movies, given that they enjoy pixar movies? round
your answer to the nearest hundredth place."
Answers
Answer:
[tex]P(\text{Disney}| \text{Pixar})\approx0.929[/tex]
Step-by-step explanation:
[tex]P(\text{Disney}| \text{Pixar})=\frac{P(\text{Disney and Pixar})}{P(\text{Pixar})}\\\\P(\text{Disney}| \text{Pixar})=\frac{0.65}{0.70}\\\\P(\text{Disney}| \text{Pixar})\approx0.929[/tex]
In your opinion, what components of a free market are the most important
Answers
A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.
Multiply: (x 4)(x2 2x 3) simplify and write your answer in standard form.
Answers
Answer:
The answer is: 24x^4
Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season? ani was more successful because she had an outlier. marta was more successful because she received the highest score. ani was more successful because she had the greater measure of center. marta was more successful because she had the greater total spread.
Answers
The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.
What is a box plot?Box Diagram provides a quick visual summary of the variability of values in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.
In this case, the total spread of Ani is from 4.5 to 9.5 and the total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.
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Which values represent solutions to cos
s(1 - x) = x sinx, where x E [0, 27)?
Answers
Answer:
[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]
Step-by-step explanation:
what is the area figure in
Answers
=180+18+54
=252in.^2 (4th option)
A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
What is the area of the square?
What is the area of the circle? Round your answer to the nearest square foot?
Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?
A.
Square
B.
Circle
Answers
Answer: The area of the square is 400sqf.
Answer 2: Area of circle = 509.31 square feet.
Answer 3: The circle because the circle's are is larger
Answers:
Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle==========================================================
Explanation:
The rope forms the perimeter of each shape. This is the distance around the outer edges.
The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.
The area of the square is 20*20 = 400 square feet.
--------------
The circle has a circumference of 80 feet, which leads to a radius of...
C = 2*pi*r
r = C/(2pi)
r = 80/(2pi)
r = 12.732395
which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.
Then use this to find the area of the circle
A = pi*r^2
A = pi*(12.732395)^2
A = 509.295782
This value is also approximate.
When rounding to the nearest whole number, we get A = 509
The area of the circle is about 509 square feet.
The circle has the largest area.
Graph the equation using the table below: y=-2x-3
Answers
Make dots at the given x and y values and draw a line through them.
see attached image
Use the drop-down menus to order the decimals from greatest to least.
8.31, 8.296, 8.06, 8.3
Answers
8.31 8.3 8.296 8.06
youre welcome
The correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.
How to to order the decimals from greatest to least.let's order the decimals from greatest to least:
1. 8.31
2. 8.3
3. 8.296
4. 8.06
So, the correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.
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Six out of eight people use Clean-White toothpaste, how many people out of 60,000 cah be expected to use Clean
white toothpaste?
HELPP.
Answers
Answer:
45,000 people
Step-by-step explanation:
Simplifying the expected ratio
6/8 people use toothpaste⇒ 3/4Multiply the ratio with 60,000
60,000 x 3/415,000 x 345,000 people can be expected to use Clean-White toothpasteLet they be x
x/60000=6/88x=360000x=360000/8x=45000What is the radius of the circle x² + (y + 9)² = 25?
2
Write you
your ancu
wor in
1:5
Answers
Answer:
5
Step-by-step explanation:
→ The radius is square root of the last number which is usually denoted by r² in the format ( x - a )² + ( y - b )² = r²
PLS HELP!!
What is the measure of ZXYZ?
A. 63°
B. 54°
C. 252°
D. 126°
Answers
Richard takes a hang gliding lesson. He
lifts off at the top of a hill and glides
downward for the first 5 minutes.
Then he soars at a consistent elevation
for 10 minutes. The last 3 minutes
he glides upward until he lands on a
smaller hill. Sketch a graph of Richard's
gliding lesson over time.
Answers
Answer:
it a nice graph I made
Step-by-step explanation:
yeah just click the image
Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total?
$7.30
$7.55
$8.30
$8.55
Answers
Answer: 7.30
Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)
(Then you just add the number all together so it’s easier)
1.30+1+2+3.10 =7.30
Need help:
Find the distance between A
and B
Answers
Answer:
2.6
Step-by-step explanation:
A= -1.3
B=1.3
1.3--1.3=2.6
Answer:
2.6 units
Step-by-step explanation:
If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.
Help me with this please 20 points down below
Answers
Most of the first ladies are from New York because 9 of them came from there.
Answer:
D
Step-by-step explanation:
The valid conclusion we reach by interpreting the graph is :
D) Most of the first ladies are from New York.
New York had 9 first ladies, more than 6 each from 2 states, and 3 each from the other 2 states.
What are the coordinates of the image of (-3, -7) after the translation (x, y) - > (x-9, y + 9)? F (-6, 16) H (12, -2) G (6, -16) J (-12, 2)
Answers
The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).
The given coordinate of the point is:- (-3,-7)
So the translation will be calculated as:-
=(x-9,y+9 )
=(-3-9,-7+9
=(-12,2)
Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)
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Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?
Answers
Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
How to calculate the perimeter?In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
Given the following data:
Minor base = 10 cm.Major base = 13 cm.From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
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what is the volume of the pyramid? The base is 2cm and the height is 3.75
Answers
I am going to assume this is a square pyramid and the base is 4 cm², in other words, 2 * 2 = 4
Answer: 5 cm³
Step-by-step explanation:
We will use the formula for a pyramid and solve.
[tex]\displaystyle V=\frac{lwh}{3}[/tex]
[tex]\displaystyle V=\frac{(2)(2)(3.75)}{3}[/tex]
V = 5 cm³
Solve the equation using square roots: x2 -81=0
Answers
Hi Student!
This question is pretty straight-forward because it is asking for us to solve to equation using square roots. We don't need to find any important information as this problem is pretty simple. We just need to use some algebra to move numbers around and we will get our answer.
Add 81 to both sides
[tex]x^2 - 81 = 0[/tex][tex]x^2 - 81 + 81 = 0 + 81[/tex][tex]x^2 = 81[/tex]Square root both sides
[tex]\sqrt{x^2} = \sqrt{81}[/tex][tex]x = \pm9[/tex]Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9. If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.