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=\frac{V}{\pi h}$$r=\sqrt[]{\frac{V}{\pi h}}$

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

$r=\sqrt[]{\frac{800}{(3.14)\cdot8}}$

Simplifying:

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

Answer: 5.64 in