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A sphere has a radius of 24 centimeters. What is its volume?

[tex]\[ V= \square \pi \text{ cm}^3 \][/tex]



Answer :

To determine the volume of a sphere with a radius of 24 centimeters, we use the formula for the volume of a sphere:

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

Here, \( r \) represents the radius of the sphere. Given that \( r = 24 \) cm, we substitute this value into the formula:

[tex]\[ V = \frac{4}{3} \pi (24)^3 \][/tex]

First, we calculate \( 24^3 \):

[tex]\[ 24^3 = 24 \times 24 \times 24 = 13824 \][/tex]

Next, we multiply 13824 by \( \frac{4}{3} \):

[tex]\[ \frac{4}{3} \times 13824 = 18432 \][/tex]

Thus, the volume of the sphere is:

[tex]\[ V = 18432 \pi \][/tex]

So, the volume of the sphere is \( 18432\pi \) cubic centimeters.

To fill in the blank in the given equation, the correct answer is:

A sphere has a radius of 24 centimeters. What is its volume?
[tex]\[ V = \boxed{18432 \pi} \ \text{cm}^3 \][/tex]