Question

a cylinder has a height of 9 feet and a radius of 5 feet. find the a volume and b surface area ( Use 3.14 for pi ) round your answer to the nearest tenth0 if necessary.

Answer 1

The volume of the cylinder is computed as follows:

`V=\pi\cdot r^2\cdot h`

where r is the radius and h is the height.

Substituting with r = 5 ft, and h = 9 ft, we get:

`\begin{gathered} V=3.14\cdot5^2\cdot9 \\ V=706.5ft^3 \end{gathered}`

The surface area of the cylinder is computed as follows:

`A=2\cdot\pi\cdot r^2+2\cdot\pi\cdot r\cdot h`

Substituting:

`\begin{gathered} A=2\cdot3.14\cdot5^2+2\cdot3.14\cdot5\cdot9 \\ A=157+282.6 \\ A=439.6ft^2 \end{gathered}`