Question

Find the lateral surface area and volume of the cylinder shown in the picture and round answer to nearest whole number as needed

Answer 1

We will solve as follows:

In order to determie the lateral surface area and also the volume for the circular cylinder we operate as follows:

*Lateral surface area: We will determine the lateral surface area, this is the product of the circumference times the height:

`A=C\cdot h`

Then:

`A=(2\pi r)\cdot h\Rightarrow A=2\pi(2)(15)`
`\Rightarrow A=60\pi\Rightarrow A=188.4955592`
`\Rightarrow A\approx188`

So, the lateral surface area is approximately 188 square inches.

*Volume: We have that the volume for a circular cylinder is give by:

`V=\pi r^2h`

Then:

`V=\pi(2)^2(15)\Rightarrow V=60\pi`
`\Rightarrow V\approx188`

So, the volume of the cylinder is approxiately 188 cubic inches.