Chef Pierre can do something unique. Using a secret process, he can bake a nearly perfectly spherical pie consisting of a vegetable filling inside a thick crust. The radius of the whole pie is 12 cm, and the radius of the filling is 8 cm. What is the volume of the crust alone, to the nearest unit? Use p = 3.14.

Question

Mathematics

Maeve Cannon

25 January, 11:47

Chef Pierre can do something unique. Using a secret process, he can bake a nearly perfectly spherical pie consisting of a vegetable filling inside a thick crust. The radius of the whole pie is 12 cm, and the radius of the filling is 8 cm. What is the volume of the crust alone, to the nearest unit? Use p = 3.14.

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Answers (1)

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Lily Mata · Answer 1

Given that the crust formed is cylindrical with the height which is equal to the radius of the sphere, then the volume will be given by:

V=πr^2h

V=π*8^2*12

V=2,412.743 cm^3

We conclude that the volume of the crust is 2,412.743 cm^3