Question

a sphere has a diameter of 14 cm. what is its volume?
a. 1450.7 cm³
b. 1400 cm³
c. 1436.8 cm³
d. 1434.5 cm³

Explanation:

Step1: Find the radius

Given diameter \(d = 14\) cm, radius \(r=\frac{d}{2}=\frac{14}{2}=7\) cm.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 7\) cm and \(\pi\approx3.14\) into the formula:

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Answer:

C. \(1436.8\mathrm{cm}^{3}\)