Jane incorrectly finds the volume of the cone using the following work. Explain Jan’s error and find the correct volume AND surface area. Show all work
Answers
Answer:
V=39.25. the height is not 6.25, 6.25 is the slope. you have to use Pythagoras theorem to find the height, then you can find the volume.
The surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
What is of volume of cone?
Volume of cones the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
Volume of cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cone.
The height of the cone is 6.5 cm and the radius is 2.5 cm. Put the values in the above formula,
[tex]V=\dfrac{1}{3}\pi r^2h\\V=\dfrac{1}{3}\pi (2.5)^2(6.5)\\V=\dfrac{1}{3}\pi (6.25)^2(6.5)\\V=\dfrac{40.625\pi }{3}\\V\approx42.5\rm\;cm^3[/tex]
The surface area of cone can be find out by the following formula,
[tex]A=\pi r(r+\sqrt{h^2+r^2})[/tex]
Again put the values in this formula,
[tex]A=\pi \times2.5(2.5+\sqrt{(6.5)^2+(2.5)^2})\\A=\pi \times2.5(2.5+\sqrt{48.5})\\A=\pi \times2.5(2.5+6.96)\\A=\pi \times2.5(9.46)\\A=74.33\rm\; cm^2[/tex]
Thus, the surface area of the cone shown in the figure, for which Jane incorrectly finds the volume, is 74.33 cm².
Learn more about the volume of cone here;
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Related Questions
HELP ME AGAIN PLEASE....
Answers
Maybe the range .........
Write the following numbers in increasing order (list the smallest as #1 and the largest as #5)
7, √24, √36, 4.7, √18
dont put answer in file i have to download pls lol
Answers
Answer:
Square root of 18
4.7
square root of 24
square root of 36
7
Step-by-step explanation:
The length of a swing is 2.1m if the length of the arch that is made by the swing is 4.4m calculate the angle swept by the swing
Answers
Answer:
The angle swept by the swing is 120 degrees
Step-by-step explanation:
Here, we are given the radius of the circle that makes the arc, and the length of the arc
Mathematically, we are to find the central angle
That would be;
The length of an arc is;
theta/360 * 2 * pi * r
theta is the central angle we are looking for and r in this case is 2.1 m
Thus, we have it that;
theta/360 * 2 * 22/7 * 2.1 = 4.4
theta = (360 * 4.4 * 7)/(2 * 22 * 2.1)
theta = 120 degrees
please help need answer
Answers
Answer:
$3
Step-by-step explanation:
3 dollars because
1 pound = 16 ounces
and 1 pound costs 1.5 dollars
if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5
32/16 = 2 x 1.5 = 3
Answer:
$3.00
Step-by-step explanation:
Since 1 pound = 16 ounces and there are 32 ounces, by dividing 32/16 will equal to 2 pounds, hence $1.50 x 2 =$ 3.00
the sum of two numbers is 30 the difference between three times the first number and twice the second is 60
Answers
Answer
Let the first no. be 2x
second no. =x
third no. =2x/3
A/Q
2x+x+2x/3=132
11x/3=132
x=36.
Hence the second no. is 36
let the first number be x
then second number=30-x
3x-2(30-x)=60
3x-60+2x=60
x=60+60
x=120
Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between ppp, the number of hours parked, and ccc, the cost in dollars.
Answers
Answer:
c = 21 + k
Step-by-step explanation:
Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.
Let the constant = k
The relationship is written as:
c = p×h + k
P = cost of parking
h = Number of hours parked
c = $7 × 3 + k
c = 21 + k
Answer:
c=7/3p
Step-by-step explanation:
i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that
Find a volume okay thank
Answers
Answer:
125 cm^3
Step-by-step explanation:
Find THE volume of this cube of side length 5 cm:
Volume of a cube is V = s^3, where s is the side length.
Here, V = (5 cm)^3 = 125 cm^3
I need help on my math someone help me
Answers
Answer and Step-by-step explanation:
Definitions:
Obtuse - Angles that are greater than 90 degrees, but shorter than 180 degrees.
Acute - Angles that are less than 90 degrees but greater than 0 degrees.
Right - Angles that are exactly 90 degrees.
1. Obtuse
2. Right
3. Acute
4. Right
5. Obtuse
6. Acute
7. Obtuse
8. Acute
9. Right
#teamtrees #PAW (Plant And Water)
help brainiest to whoever right
Answers
Using an online calculator I found the standard deviation to be 10.12
Help! I’ll give brainliest!
Answers
Answer:
d) -2
Step-by-step explanation:
(-1 - 19)/(16 - 6)
-20/10 = -2
Helppp this is a Algebra question
Answers
(*) multiply sign
(/) division sign
ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality
Answers
Answer:
C. Subtraction property of equality
Step-by-step explanation:
36^x-2=6 solve for x
Answers
Answer:
x = [tex]\frac{in (8)}{in (36)}[/tex] if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
What is the value of x in the diagram below?
Answers
Answer:
18
Step-by-step explanation:
The two angles are vertical angles which mean they are equal
2x = 36
Find x by dividing both sides by 2
X = 18
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The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
a) What is the diameter of bacteria species B in metres?
Answers
Answer:
1 × 10⁻⁹ mStep-by-step explanation:
A is 1 micrometer = 1 × 10⁻⁶ m
B is 1× 10⁻³ size of A:
1 × 10⁻⁶ * 1 × 10⁻³ = 1× 10⁻⁹ mI need help with adding letters and numbers into the diagram
m
m
Answers
any combination would work out. the most common is x and y. or you may use f(x) and x.
Write an expression that is equivalent to: -1/2(10 + 1/4)
Answers
Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
10+1/4 = 41/4
Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction
-1/2(10.25)= -41/8 or 5.125
Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet
Answers
Answer:
Width = 8 feet
Length = 8 feet
Step-by-step explanation:
Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.
Step
We find the Length and Width
This is done by factorising the area
Area = n² - 16n + 64 = 0
n² - 8n - 8n + 64 = 0
(n² - 8n) - (8n +64) = 0
n(n - 8) -8(n - 8) = 0
(n - 8) (n - 8) = 0
n - 8 = 0
n = 8
The length and width = 8 feet
Step 2
New length and width by extension is calculated as:
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Length = 8 feet + 2 feet = 10 feet
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a spade.
The probability of being dealt a spade is
Answers
Answer:
The probability of being dealt a spade is 13/52.
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown, Round to the nearest tenths place.
12
Answers
Please I need help now! This is due today! Look at the pic below.
Answers
Answer:
B
Step-by-step explanation:
Due tonight.. *no links*
Answers
Answer:
angle 5 = 149°
angle 7 = 149°
And 7 would be 31 because it’s across from 5
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(7 x6 )+(8x8)-5 gives the number of slicess were sold witch describe a part of this expression what's the sum
Answers
Answer:
"101" seems to the appropriate response. The further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ [tex](7\times 6 )+(8\times 8)-5[/tex]
On solving the brackets, we get
⇒ [tex]42+64-5[/tex]
On applying addition, we get
⇒ [tex]106-5[/tex]
On applying subtraction, we get
⇒ [tex]101[/tex]
which number is greater?
1. 0.9461
2. 0.9727
Answers
Answer:
0.9727
Step-by-step explanation:
its higher number
2 * blank equals 6.5
Answers
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
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Kevin is planting 1515 bushes and 99 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?
Answer:
rows.
Answers
Answer:
15 rows
Step-by-step explanation:
1515/99=15.30 simplify is 15
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Y = 8000/1000= 8
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Find the area of the trapezoid to the nearest tenth.
Answers
7 is ten times the value of ?
1. 0.007
2. 70
3. 0.07
4. 0.7
Answers
Answer:
it's NUMBER 4. 0.7
Step-by-step explanation:
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based on the construction below, which conclusion is not always true
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Answer:
B
Step-by-step explanation:
I just did the problem as homework