Question

A sphere water pump has a diameter of 48 in.

What is the approximate amount of water that can be contained in the water pump? Use 3.14 for T.
Hint: Use the formula sheet to determine the formula(s) needed to solve the problem.
A
B
C
D
7,235 in.³
27,631 in.³
57,876 in.3
463,012 in.³
GED-MATH-P-1-45

Answer 1

C. 57,876 in³

Explanation:

You want the volume of a sphere that is 48 in in diameter.

Volume

The volume of a sphere is given by the equation ...

V = 4/3πr³

where r is the radius, half the diameter.

In terms of diameter, this is ...

V = (4/3)π(d/2)³ = (π/6)d³

Application

The given sphere has a volume of about ...

V = (3.14/6)(48 in)³ ≈ 57,876 in³

The amount of water that can be contained in the pump is 57,876 in³.

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