Question
the radius is 3
the height is 5
Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.
(1 point)
cubic centimeters
the height is 5
Find the volume of the cylinder, in cubic centimeters. Use 3.14 for pi. Round your answer to the nearest tenth.
(1 point)
cubic centimeters
Answers
GPT-4o mini
The volume \( V \) of a cylinder is calculated using the formula:
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 3 \) cm,
- \( h = 5 \) cm.
Now, substituting the values into the formula:
\[
V = 3.14 \times (3)^2 \times 5
\]
Calculating \( (3)^2 \):
\[
(3)^2 = 9
\]
Now plug it back into the volume formula:
\[
V = 3.14 \times 9 \times 5
\]
Calculating \( 9 \times 5 \):
\[
9 \times 5 = 45
\]
Now multiply by \( 3.14 \):
\[
V = 3.14 \times 45 = 141.3
\]
Rounding to the nearest tenth, the volume of the cylinder is
\[
\boxed{141.3} \text{ cubic centimeters.}
\]
\[
V = \pi r^2 h
\]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 3 \) cm,
- \( h = 5 \) cm.
Now, substituting the values into the formula:
\[
V = 3.14 \times (3)^2 \times 5
\]
Calculating \( (3)^2 \):
\[
(3)^2 = 9
\]
Now plug it back into the volume formula:
\[
V = 3.14 \times 9 \times 5
\]
Calculating \( 9 \times 5 \):
\[
9 \times 5 = 45
\]
Now multiply by \( 3.14 \):
\[
V = 3.14 \times 45 = 141.3
\]
Rounding to the nearest tenth, the volume of the cylinder is
\[
\boxed{141.3} \text{ cubic centimeters.}
\]