Question

A spherical fish bowl is half-filled with water. T

he center of the bowl is C, and the length of segment AB is 16 inches, as shown below. Use Twenty two over seven for pi. A sphere with diameter 16 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(82)(16)
1 over 24 over 322 over 7(83)
1 over 24 over 322 over 7(162)(8)
1 over 24 over 322 over 7(163)

Answer 1

its B) 1 over 24 over 322 over 7(82)(16)

Answer 2

The volume of a sphere of radius r is given by

`V=(4)/(3)\pi\cdot r^3`

For your given conditions, the volume of 1/2 a sphere becomes

`V=(1)/(2)\cdot(4)/(3)\cdot(22)/(7)\cdot 8^3`

Seems to match your 2nd choice:

... 1 over 24 over 322 over 7(83)