Question

A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 24 inches, as shown below. Use Twenty two over seven for pi.

A sphere with diameter 24 inches is drawn.

Which of the following can be used to calculate the volume of water inside the fish bowl?

1 over 24 over 322 over 7(12 3)
1 over 24 over 322 over 7(12 2) (24)
1 over 24 over 322 over 7(24 3)
1 over 24 over 322 over 7(24 2) (12)

Answer 1

1 over 24 over 322 over 7(12 3) i think

Answer 2

1 over 2 4 over 3 22 over 7 (12^3)

Explanation:

Volume of sphere = (4/3)*pi*radius^3

If the sphere has a diameter of 24 inches, then its radius is 12 inches.

The spherical fish bowl is half-filled; then, the volume of water inside the fish bowl is half of the volume of the bowl, that is,

volume of water = (1/2)*(4/3)*pi*radius^3

Replacing with radius value and the given value for pi, we get:

volume of water = (1/2)*(4/3)*(22/7)*(12^3)