What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
What is the volume of a sphere with a radius of 7 feet? Round to the nearest hundredth.
6
What is the volume of the sphere with a diameter of 18 centimeters? Round to the nearest
hundredth
Answers
Answer:
5. 4186.67 in³
6. 1436.03 ft³
7. 3052.08 cm³
Step-by-step explanation:
5. Determination of the volume of the sphere.
Radius (r) = 10 in
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 10³
V = 4/3 × 3.14 × 1000
V = 4186.67 in³
6. Determination of the volume of the sphere.
Radius (r) = 7 ft
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 7³
V = 4/3 × 3.14 × 343
V = 1436.03 ft³
7. Determination of the volume of the sphere.
We'll begin by calculating the radius. This can be obtained as follow:
Diameter (d) = 18 cm
Radius (r) =?
r = d/2
r = 18/2
r = 9 cm
Finally, we shall determine the volume of the sphere. This can be obtained as follow:
Radius (r) = 9 cm
Pi (π) = 3.14
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 9³
V = 4/3 × 3.14 × 729
V = 3052.08 cm³
Related Questions
the domain and range of the given set of points?
(0,8) (-5,-8) (9,1) (0,0) (-6-7)
Answers
Answer:
Domain: -6,-5,0,0,9
Range:-8,-7,0,1,8
Step-by-step explanation:
Which fraction is equivalent to 1/6
1/3
2/8
3/24
4/24
Answers
Answer:
the last one- 4/24
Step-by-step explanation:
ive answered this question before and got it correct
Two planes start from the same point and fly opposite directions. The first plane is flying 20 mph slower than the second plane in 2 h the planes are 540 mi apart. Find the rate of each plane
Answers
Answer:
This
Step-by-step explanation:
let x = rate of the slower plane (First plane!)
x+25 = rate of the faster plane (Second plane!)
The planes fly for 2 hours, where Distance = R*T
Distance between the planes = SUM of the distances.
R*T + R*T= 470 miles
2*x + 2*(x+25)=470
2x+2x + 50 = 470
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
Answer:
4x+50=470
4x=420
x=105 mph First plane
x+25= 105+25=130 mph Second plane.
R^2
Step-by-step explanation:
Solve for 41.
1259
61 = [?]
61
37°
889
Answers
Answer: 55
Step-by-step explanation:
180 = 125 + x
x = 55
A filtration process removes a random proportion of particulates in water to which it is applied. Suppose that a sample of water is subjected to this process twice. Let x1 be the proportion of the particulates that are removed by the first pass. Let X2 be the proportion of what remains after the first pass that is removed by the second pass. Assume that X1 and X2 are independent random variables with common pdf. f(x) = 4x3, for 0 < x <1 and f(x) = 0 otherwise. Let Y be the proportion of the original particulates that remain in the sample after two passes. Then Y = (1 - X1)(1 - X2). Find E(Y).
Answers
Answer:
[tex]E(Y)=\frac{1}{25}[/tex]
Step-by-step explanation:
Let's start defining the random variables for this exercise :
[tex]X_{1}:[/tex] '' The proportion of the particulates that are removed by the first pass ''
[tex]X_{2}:[/tex] '' The proportion of what remains after the first pass that is removed by the second pass ''
[tex]Y:[/tex] '' The proportion of the original particulates that remain in the sample after two passes ''
We know the relation between the random variables :
[tex]Y=(1-X_{1})(1-X_{2})[/tex]
We also assume that [tex]X_{1}[/tex] and [tex]X_{2}[/tex] are independent random variables with common pdf.
The probability density function for both variables is [tex]f(x)=4x^{3}[/tex] for [tex]0<x<1[/tex] and [tex]f(x)=0[/tex] otherwise.
The first step to solve this exercise is to find the expected value for [tex]X_{1}[/tex] and [tex]X_{2}[/tex].
Because the variables have the same pdf we write :
[tex]E(X_{1})= E(X_{2})=E(X)[/tex]
Using the pdf to calculate the expected value we write :
[tex]E(X)=\int\limits^a_b {xf(x)} \, dx[/tex]
Where [tex]a=[/tex] ∞ and [tex]b=[/tex] - ∞ (because we integrate in the whole range of the random variable). In this case, we will integrate between [tex]0[/tex] and [tex]1[/tex] ⇒
Using the pdf we calculate the expected value :
[tex]E(X)=\int\limits^1_0 {x4x^{3}} \, dx=\int\limits^1_0 {4x^{4}} \, dx=\frac{4}{5}[/tex]
⇒ [tex]E(X)=E(X_{1})=E(X_{2})=\frac{4}{5}[/tex]
Now we need to use some expected value properties in the expression of [tex]Y[/tex] ⇒
[tex]Y=(1-X_{1})(1-X_{2})[/tex] ⇒
[tex]Y=1-X_{2}-X_{1}+X_{1}X_{2}[/tex]
Applying the expected value properties (linearity and expected value of a constant) ⇒
[tex]E(Y)=E(1)-E(X_{2})-E(X_{1})+E(X_{1}X_{2})[/tex]
Using that [tex]X_{1}[/tex] and [tex]X_{2}[/tex] have the same expected value [tex]E(X)[/tex] and given that [tex]X_{1}[/tex] and [tex]X_{2}[/tex] are independent random variables we can write [tex]E(X_{1}X_{2})=E(X_{1})E(X_{2})[/tex] ⇒
[tex]E(Y)=E(1)-E(X)-E(X)+E(X_{1})E(X_{2})[/tex] ⇒
[tex]E(Y)=E(1)-2E(X)+[E(X)]^{2}[/tex]
Using the value of [tex]E(X)[/tex] calculated :
[tex]E(Y)=1-2(\frac{4}{5})+(\frac{4}{5})^{2}=\frac{1}{25}[/tex]
[tex]E(Y)=\frac{1}{25}[/tex]
We find that the expected value of the variable [tex]Y[/tex] is [tex]E(Y)=\frac{1}{25}[/tex]
A box of toy cars contains blue, orange, yellow, red, and black
cars. A separate box contains a male and a female action
figure. What is the probability of randomly choosing an orange
car and a female action figure? Is it likely or unlikely that this
combination is chosen?
Answers
Answer:
Step-by-step explanation:
Then find the values of x and y?
Answers
-2y=-8
y=4
104*2=208
360-208=152
152/2=76
x=76°
Answer:
x=76
Step-by-step explanation:
y+8=3y
-2y=-8
y=4
104*2=208
360-208=152
152/2=76
x=76
Leroy wants to teach his puppy 6 new tricks. In how many different orders can the puppy learn the tricks?
Answers
Answer: 720 ways
Step-by-step explanation:
Given
Leroy wants to teach his puppy 6 new tricks
Considering each trick is different from other
The first trick can be taught in 6 different ways
After learning the first trick, there are 5 tricks remaining which can be taught in 5 different ways
Similarly, for the remaining tricks, it is 4, 3, 2, and 1 way
So, the total number of ways is [tex]6\times 5\times 4\times 3\times 2\times 1=720\ \text{Ways}[/tex]
Selena's dog completed an obstacle course that was 452 meters long. There were four parts to the course, all equal length. How long was each part of the course?
Answers
Answer:
113 meters long
Step-by-step explanation:
If each part is all equal in length, then each part is 1/4 the total length of the obstacle course. Therefore, each part of the course was 1/4(452)=113 meters long
Last year a farm produced 6.2 - 10^6soybeans and 7.8. 10^6 onions.
a.) What was the total number of vegetables produced by the farm last year?
Answers
Answer:
Yessir
Step-by-step explanation:
Simplify the expression using order of operation 5 x 2 + 3 to the power of 2
Answers
answer= 1
5 x 2 - 3^2
1. First simplify exponents
= that is nine
2. Then Do 5 x 2- 9
5 x 2=10
10-9
= 1
In triangle ABC, m
15
1353
25
Answers
Using Cavalieri's Principle, what is the general formula for the volume of a cone?
Answers
Answer:
The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.
Step-by-step explanation:
So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.
Plz help me well mark brainliest if correct!!.....
Answers
hope this helps
Answer:
12 inches
Step-by-step explanation:
All you have to do is divide 72 by 6.
72 divided by 6 equals 12.
So your answer would be D.12 inches
Jim is twice as old as chin and four times as old as di.Their total ages altogether is equal to 84 years.Calculate jim's age
Answers
Answer:
48 years
Step-by-step explanation:
Let the ratio of their ages be
4:2:1
Sum up the numbers
4+2+1
= 7
Their total ages is 84
7/84
= 1/12
Therefore Jim age can be calculated as follows
= 12×4
= 48
Hence Jim is 48 years
Which is the simplified form of the expression?
10n−13(9n−12)
7n + 4
7n – 4
3n + 4
3n – 12
Answers
Given:
Consider the given expression is:
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
Using distributive property, it can be written as:
[tex]=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)[/tex]
[tex]=10n-3n+4[/tex]
[tex]=7n+4[/tex]
Therefore, the correct option is A.
What is the value of y
Answers
Answer:
85 i thinkkkk
Step-by-step explanation:
PLEASE HELP WITH THIS ASPA 3/8 divided by-3/5
Answers
Answer:
Step-by-step explanation:
Simplify: x^1/3( x^1/2 + 2x^2)
Answers
Answer:
Step-by-step explanation:
x^1/3( x^1/2 + 2x^2)
x^(1/2 + 1/3) + 2x^(2 + 1/3)
x^(5/6) + 2x^(7/3)
A rectangle is graphed on a coordinate plane. The rectangle’s two lines of symmetry are the x-axis and the y-axis. Evie says that means the vertices are reflections of each other over the x-axis and y-axis. Is she correct? Explain your reasoning NO LINKS worth 50 points
Answers
Answer:
Can you add a picture if there are any?
Step-by-step explanation:
No random links or answers, please.
Answers
Answer:
the ans is 21 hope it may help u
Step-by-step explanation:
g = 6
x=6
x= 3x + 3
x = 3 × 6 +3
x = 18 + 3
x= 21
No random answers or links, please.
Answers
Answer:
the ans is 4 hope it may help u
Step-by-step explanation:
x =-6
x= - × -6 -2
x=+ 6 -2
x= +4
What is the rule for the number pattern below ?950,800,650,500,350
Answers
950-150=800 and 800-150=650 and so on and so forth. The number sequence only includes 5 numbers so there is no way to tell if there is a tougher solution.
Angle Relationships
Determine the height of the triangle. Round to the nearest foot.
a. 12 ft
b. 14 ft
c. 10 ft
d. 18 ft
Please select the best answer from the choices provided
Answers
Answer:
B. 14 ft
Step-by-step explanation:
I calculated it logically
Calculated logically like the other person the 14 would not make sense here, if 25 fr is this long.
Need help please
What is the measure of angle 1?
What is the measure of angle 3?
What is the measure of angle 6?
Answers
Answer:
Step-by-step explanation:
Do you have any measurements?
1) 180-Angle 2 = Angle 1
3) Same as Angle 2
6) Same as Angle 2
Drag each solution to the correct location on the table. Each solution can be used more than once, but not all solutions will be used.
Determine the solutions to each of the given quadratic equations.
(3x + 8)(3x + 8) = 0
(3x-8)(3x + 8) = 0
x(3x - 8) = 0
(3x-8)(3x - 8) = 0
= -8
Answers
Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. (3x + 8)(3x + 8) = 0
3x + 8 = 0 or 3x + 8 = 0
3x = –8 or 3x = –8
x = –8/3 or –8/3
2. (3x – 8)(3x + 8) = 0
3x – 8 = 0 or 3x + 8 = 0
3x = 8 or 3x = –8
x = 8/3 or –8/3
3. x(3x – 8) = 0
x = 0 or 3x – 8 = 0
x = 0 or 3x = 8
x = 0 or 8/3
4. (3x – 8)(3x – 8) = 0
3x – 8 = 0 or 3x – 8 = 0
3x = 8 or 3x = 8
x = 8/3 or 8/3
The diameter of a dime is 17.91 millimeters, an the height is 1.35 millimeters. What is the volume of a dime? What is the volume of an oblique cylinder formed by stacking 50 dimes? Round your answers to the nearest hundredth.
Answers
Answer:
why does no one ever answer these questionsss?? it's always math to, like I'm just trying to pass my quick check, let alone the class. you know how much easier my life would be it's people just answered the questions. I'm gonna run away, to some Scottish Isle and live a quiet life, in a cozy home with the wind outside ruffling through the grass, and the tired tired sea crashing onto the shoreline. I'll only visit my family and friends once a year, but the rest of the time, I'll be there, in the quiet. eventually a young visitor will stumble through my b & b and he'll end up staying there for weeks, for reasons unknown to me. Then, we'll fall in love, to the quiet sound of the ocean outside. And it'll be just us, it'll be our place, our secret. we won't have to deal with the loud, crazy, hectic world. and it will be perfect. but for now I'm stuck trying to pass this math class.
Answer:
The volume of one dime is 340.11 mm3. The volume of 50 dimes is 17.005.32 mm3.
Step-by-step explanation:
What is the volume of a sphere with a diameter of 49.3 cm, rounded to the nearest
tenth of a cubic centimeter?
Answers
Answer:
62739.3 cm3
Step-by-step explanation:
Volume of a Sphere:
V=43πr3V=\frac{4}{3}\pi r^3V=34πr3
radius=diameter2=49.32=24.65\text{radius} = \frac{\text{diameter}}{2} = \frac{49.3}{2}=24.65radius=2diameter=249.3=24.65
centimeters
Plug in:\text{Plug in:}Plug in:
43π(24.65)3\frac{4}{3}\pi (24.65)^334π(24.65)3
62739.258293562739.258293562739.2582935
Use calculator
≈62739.3 cm3\approx 62739.3\text{ cm}^3≈62739.3 cm3
Round to the nearest tenth
Multiplying polynomials
(4x+3y)(5x+y)
Answers
Answer:
20x^2 +19xy+3y^2
Step-by-step explanation:
See Image below :)
9514 1404 393
Answer:
20x² +19xy +3y²
Step-by-step explanation:
Use the distributive property.
(4x +3y)(5x +y)
= 4x(5x +y) +3y(5x +y)
= 20x² +4xy +15xy +3y²
Collect terms.
= 20x² +19xy +3y²
5y - 2y = 3y + 2
please help.