Question

if the volume of the cylinder is 800 in ^3, what is the radius of the base of the cylinder? Use 3.14 for pie, round the answer to the nearest hundred and the height is 8 in.

Answer 1

Data

• Total volume: 800 in³

,

• Height (h): 8 in

,

• Formula for volume of a cylinder (V):

`V=\pi r^2h`

Procedure

As we know V and h, we can solve the formula of V for r as follows:

`r^2=(V)/(\pi h)`
`r=\sqrt[]{(V)/(\pi h)}`

Now, we can replace the values, considering that the problem is asking to use 3.14 for π:

`r=\sqrt[]{(800)/((3.14)\cdot8)}`

Simplifying:

`r=\sqrt[]{(100)/((3.14))}`
`r=\sqrt[]{31.85}`
`r\approx5.64`

Answer: 5.64 in