Question

If a basketball has a diameter of 24cm, what is its volume?

SHOW WORK, PLEASE!

Easy and understandable, please!

Answer 1

The formula for the volume of a sphere is:
$\frac{4\pi {r}^{3} }{3}$
The question gave us the diameter so we can find the radius right away:
$24 \div 2 = 12$
Plug the radius in to the formula:
$\frac{4\pi {12}^{3} }{3} = \frac{4 \times 1728\pi}{3} = \frac{6912\pi}{3} = 2304\pi$
The answer is 2304π.

Answer 2

$\boxed {\text{Diameter = Radius} \div 2 }$

Radius = 24 ÷ 2 = 12 cm

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$\boxed {\text {Volume of Sphere} = \dfrac{4}{3} \pi r^3}$

$\text {Volume = } \dfrac{4}{3} \pi (12)^3 = \dfrac{4}{3} \pi (1728) = 7238.23 \text{ cm}^3$

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Answer: 7238.23 cm³