Question

James calculated the height of a cylinder that has a volume of 324pi cubic inches and a radius of 12 inches. His work is shown below.

Answer 1

the anser is d

Explanation:

Answer 2

For this case we have by definition that the volume of a cylinder is given by:

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

Where:

r: It's the radio

h: It's the height

We have as data that:

`V = 324 \pi\\r = 12`

Substituting:

`324 \pi = \pi * (12) ^ 2 * h`

We cleared h:

`324 \pi = \pi * 144 * h\\324 = 144 * h\\h = \frac {324} {144}\\h = 2.25`

Thus, the height of the cylinder is 2.25 inches.

Answer:

`h = 2.25`