The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

Question

Mathematics

Gustavo Boyd

28 February, 10:39

The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

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Stevenson · Answer 1

The volume of a sphere with respect to its diameter is:

V = (4πr^3) / 3

V = (πd^3) / 6 (because r=d/2 and r^3 = (d^3) / 8), we are given that d=4 so

V=64π/6 cm^3

V=32π/3 cm^2

V≈33.51 cm^3 (to nearest hundredth)