Question

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

A.576π cubic units



B.1,728π cubic units



C.2,304π cubic units



D.6,912π cubic units

Answer 1

Volume of the sphere is
`2304\pi\ cubic\ unit` .

Option (C) is correct .

Explanation:

Formula

`Volume\ of\ a\ sphere = (4)/(3)\pi r^(3)`

Where r is the radius of the sphere .

As given

A sphere has a diameter of 24 units.

`Radius = (Diameter)/(2)`

`Radius = (24)/(2)`

= 12 units

Putting the value of radius in the formula

`Volume\ of\ a\ sphere = (4* 12* 12* 12)/(3)\pi`

`Volume\ of\ a\ sphere = (6912)/(3)\pi`

`Volume\ of\ a\ sphere = 2304\pi`

Therefore the volume of the sphere is
`2304\pi\ cubic\ unit` .

Option (C) is correct .

Answer 2

The volume of the sphere is .2,304π cubic units.

What is a sphere?

A sphere is a 3-dimensional object. Points on the circumference are equidistant from the center.

What is the volume of the sphere?

The volume of the sphere = 4/3πr³

Where:

• π = pi
• r = radius = 24 /2 = 12

The diameter is a line that passes through the center of the sphere and touches two points on the circumference. The radius is half of the length of the diameter.

the volume of the sphere = 4/3π12³ = .2,304π cubic units