Question

Jacob is preparing pancake batter. He is using a large bowl shaped like a half-sphere with a diameter of 12 inches. What is the approximate volume of the bowl if it is completely full of batter?

Answer 1

Given:

Given that Jacob is preparing pancake batter. He is using a large bowl shaped like a half - sphere.

The diameter of the half sphere is 12 inches.

The radius of the half sphere is 6 inches.

We need to determine the volume of the bowl if it is completely full of batter.

Volume:

The volume of the bowl can be determined using the formula,

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

Substituting the values, we have;

`V=(2)/(3)(3.14) (6)^3`

`V=(2)/(3)(3.14) (216)`

`V=(1356.48)/(3)`

`V=452.16 \ in^3`

Therefore, the volume of the bowl if it is completely full of batter is 452.16 cubic inches.