Question

Hawa models a can of ground coffee as a right cylinder. She measures its radius as

3/4 in and its volume as 8 cubic inches. Find the height of the can in inches. Round your answer to the nearest tenth if necessary

Answer 1

Answer: The height is 4.5 in

Explanation:

We can use the given formula for volume, transform it to solve for height (h), and then substitute our given values to solve.

Given formula:

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

Transformed to solve for height:

`\displaystyle h=(V)/(\pi r^2)`

Substitute given points:

`\displaystyle h=\frac{(8\; \text{cubic inches})}{\pi (0.75\; \text{inches})^2}`

Square:

`\displaystyle h=\frac{(8\; \text{cubic inches})}{\pi (0.5625)}`

Multiply:

`\displaystyle h=(8)/(1.767146)`

Divide:

`\displaystyle h=4.527`

Round to the nearest tenth:

`\displaystyle h=4.5`