Question

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

SHOW WORK, PLEASE!

Easy and understandable, please!

Answer 1

`\boxed {\text{Diameter = Radius} / 2 }`

Radius = 24 ÷ 2 = 12 cm

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`\boxed {\text {Volume of Sphere} = (4)/(3) \pi r^3}`

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

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Answer: 7238.23 cm³

Answer 2

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 / 2 = 12`
Plug the radius in to the formula:

`\frac{4\pi {12}^(3) }{3} = (4 * 1728\pi)/(3) = (6912\pi)/(3) = 2304\pi`
The answer is 2304π.