Question
page 13 of 13 Volume of a Cylinder Quick Check 5 of 55 of 5 Items Question Calculate the volume of a cylinder with a height of 20 centimeters and a radius of 5 centimeters. Leave your answer in terms of π .(1 point) Responses 2,000π cm3 2,000 pi cm cubed 100π cm3 100 pi cm cubed 500π cm3 500 pi cm cubed 500 cm3 500 cm cubed Skip to navigation
Answers
Answered by
GPT-4o mini
To calculate the volume \( V \) of a cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height \( h = 20 \) cm,
- Radius \( r = 5 \) cm.
Substituting the values into the formula:
\[
V = \pi (5)^2 (20)
\]
Calculating \( (5)^2 \):
\[
(5)^2 = 25
\]
Now, substituting back into the volume formula:
\[
V = \pi (25) (20) = \pi (500)
\]
Thus, the volume \( V \) is:
\[
V = 500\pi \, \text{cm}^3
\]
So the answer is **500π cm³**.
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height \( h = 20 \) cm,
- Radius \( r = 5 \) cm.
Substituting the values into the formula:
\[
V = \pi (5)^2 (20)
\]
Calculating \( (5)^2 \):
\[
(5)^2 = 25
\]
Now, substituting back into the volume formula:
\[
V = \pi (25) (20) = \pi (500)
\]
Thus, the volume \( V \) is:
\[
V = 500\pi \, \text{cm}^3
\]
So the answer is **500π cm³**.
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