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

Step-by-step 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=(C)/(2\pi)`
`r=(4)/(2\pi)`
`r=(2)/(\pi)`

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

`V=\pi((2)/(\pi)in)^2(6in)`
`V=\pi((2)/(\pi)in)^2(6in)`