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

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

Sagot :

GinnyAnswer
To find the volume [tex]\( V \)[/tex] of a sphere with a given radius [tex]\( r \)[/tex], we use the formula:

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

Given that the radius [tex]\( r \)[/tex] of the sphere is 24 centimeters, we substitute this value into the formula:

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

Carrying out the exponentiation:

[tex]\[ 24^3 = 24 \times 24 \times 24 = 13,824 \][/tex]

Next, we multiply this result by [tex]\(\frac{4}{3}\)[/tex]:

[tex]\[ \frac{4}{3} \times 13,824 = 18,432.0 \][/tex]

Hence, the volume [tex]\( V \)[/tex] of the sphere is:

[tex]\[ V = 18,432.0 \pi \, \text{cm}^3 \][/tex]

So, the correct answer to fill in the blank is:

[tex]\[ 18,432.0 \, \text{cm}^3 \][/tex]
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