Question

Dalvin models a can of ground coffee as a right cylinder. He measures its height as 6in and its circumference as 4 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.

Answer 1

Answer: in3

Explanation

The volume of the can can be calculated by calculating the volume of a cylinder (V) using the formula below:

$V=\pi r^2h$

where r represents the radius and h the height. In our case:

• h = 6in

,

• circumference (,C,) = 4in

Thus, we have to find the radius by using C:

$C=2\pi r$$r=\frac{C}{2\pi}$$r=\frac{4}{2\pi}$$r=\frac{2}{\pi}$

Now we can replace the value of the radius in the formula to find the volume:

$V=\pi(\frac{2}{\pi}in)^2(6in)$$V=\pi(\frac{2}{\pi}in)^2(6in)$