A cylinder has a base radius of 7in and a height of 3in. What is its volume in cubic in, to the nearest tenths place?

1 answer

To find the volume of a cylinder, you can use the formula:

\[V = \pi r^2 h\]

where:
V = volume
r = base radius
h = height

Given that the base radius (r) is 7in and the height (h) is 3in, we can plug in these values into the formula:

\[V = \pi (7^2)(3)\]
\[V = \pi (49)(3)\]
\[V = 147\pi\]

To find the volume to the nearest tenths place, we can approximate \(\pi\) to be 3.14:

\[V \approx 147(3.14)\]
\[V \approx 461.58\]

Therefore, the volume of the cylinder is approximately 461.6 cubic inches.