Question

1. a sphere has a diameter of 14 cm. what is its volume?

a. 1436.8 cm³
b. 1450.7 cm³
c. 1434.5 cm³
d. 1400 cm³

Explanation:

Step1: Find the radius

Radius \(r=\frac{d}{2}=\frac{14}{2} = 7\ \text{cm}\)

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\).
Substitute \(r = 7\) into the formula: \(V=\frac{4}{3}\times\pi\times7^{3}\)

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Answer:

A. \(1436.8\ \text{cm}^3\)