Question

What is the volume, in cubic in, of a cylinder with a height of 2oin and a base radiusof 2in, to the nearest tenths place?

Answer 1

Ok, the volume of a cylinder is given by the product of its base area and its height. The base of a cylinder is a circle which area is given by:

$2\pi\cdot r$

Where r is its radius and pi is approximately 3.1416

Then the area of the cylinder's base is:

$2\cdot\pi\cdot2=12.566$

Which is 12.566 sq in.

Finally if we multiply this area by the height of the cylinder we find its volume:

$v=12.566\cdot20=251.32$

Therefore, rounding to the nearest tenths the volume of the cylinder is 251.3 cubic inches.