Question

A sphere has a diameter of 24 units. What is its volume in cubic units?

A. 5767 cubic units
B. 1,7287 cubic units
C.2,304 cubic units
D. 6,912 cubic units​

Answer 1

V=7234.56 cubic units

Explanation:

Volume of a sphere is given by the formula

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

Where r is the radius. Radius is half of the diameter. Diameter is 24 units , hence radius is 12 units.

Putting this value of radius r =12 units in the formula .

`V =(4)/(3) \pi (12)^(3)`

`V =(4)/(3) * \pi * 12 * 12 * 12`

`V =4 * \pi * 12 * 12 * 4`

`V =4 * 3.14 * 12 * 12 * 4`

V=7234.56

Volume is 7234.56 cubic units