A sphere has a diameter of 18 meters. Find the volume of the sphere, in cubic meters, in terms of π.

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Mathematics

Rowe

23 September, 04:21

A sphere has a diameter of 18 meters. Find the volume of the sphere, in cubic meters, in terms of π.

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Nikolai Pugh · Answer 1

The formula of the volume of a sphere is 4/3 (πr^3). Radius is 1/2 the diameter so if the diameter is 18, the radius is 9. Now we plug that into the formula 4/3 (π9^3). Now we solve for the volume step by step. First 9^3 = 729. Now 4/3 (729π). Now divide 729 by 3 and multiply by 4 so 4 (729/3) = 972π. The volume of the sphere is 972π.