Question

a spherical tank has a volume of 33,510.32 m³. what is the radius of the tank?

a. 30 m
b. 25 m
c. 20 m
d. 15 m

what is the radius of a sphere with a volume of 904.32 cubic inches?

a. 5 inches
b. 6 inches
c. 8 inches
d. 7 inches

Explanation:

Step1: Recall the volume formula of a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\).

Step2: Solve for \(r\) in the first problem

Given \(V = 33510.32m^{3}\), \(\pi\approx3.14\).

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Step3: Solve for \(r\) in the second problem

Given \(V = 904.32\) cubic inches, \(\pi\approx3.14\).

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Answer:

For the first problem: C. 20 m
For the second problem: B. 6 inches