Question

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Answer 1

option 3,
`972\pi in^(3)`

Explanation:

The formula to find the volume of a sphere is
`(4)/(3) \pi r^(3)`

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

`(4)/(3) \pi (9)^(3)\\\\(4\pi (9)^(3))/(3) \\\\Factor (9)^(3): (3)^(6)\\\\((3)^(6) * 4\pi )/(3) \\\\`

cancel common factor: 3

`3^(5) * 4\pi \\3^(5) = 243\\243 * 4\pi\\972\pi`

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