What is the volume of a sphere with a radius of 18 units?
O A. 77767 units3
B. 12967 units3
O C. 58327 units3
D. 1944 units

Respuesta :

Answer:

24,429.0245 square units

Step-by-step explanation:

The volume of a sphere can be found using the following formula.

[tex]V=\frac{4\pi r^3}{3}[/tex]

The radius is 18 units. Therefore, we can substitute 18 units in for r.

[tex]V=\frac{4\pi (18units)^3}{3}[/tex]

First, evaluate the exponents.

18 units^3= 18 units * 18 units * 18 units= 5832 units^3

[tex]V=\frac{4\pi (5832 units^3)}{3}[/tex]

Multiply 4 and pi.

[tex]V=\frac{12.5663706*5832 units^3}{3}[/tex]

Multiply in the numerator.

[tex]V=\frac{73287.0733 units^3}{3}[/tex]

Divide

[tex]V=24429.0245 units^3[/tex]

The volume of the sphere is 24,429.0245 units^3