Question

Q. A professional chef has a cone shaped strainer with a diameter of 6 inches and a height of 10

inches. If the chef can fill it to the top with rice, how many cubic inches will the cone hold?

Answer 1

Answer:
`94.24\ in^3`

Explanation:

For this exercise you need to used the formula for calculate the volume of a cone:

`V=(1)/(3)\pi r^2h`

Where "r" is the radius and "h" is the height of the cone.

In this case, you know that the diameter of the cone shaped strainer is:

`d=6\ in`

Since the radius is half the diameter:

`r=(d)/(2)\\\\r=(6\ in)/(2)\\\\r=3\ in`

And the height is:

`h=10\ in`

Therefore, the final step is to substitute those values into the formula and evaluate, in order to find the amount of cubic inches the cone will hold.

This is:

`V=(1)/(3)\pi (3\ in)^2(10\ in)\\\\V=94.24\ in^3`