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Question

asked Oct 2, 2023 196k views

1 Answer

Roydukkey · Answer 1 · 2023-10-06T03:55:21+0000

Answer:

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

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

Let me know if you have any questions !