Question

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

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

Explanation:

Step1: Find the radius

The radius \(r\) of a sphere is half of the diameter. Given diameter \(d = 14\ \text{cm}\), so \(r=\frac{d}{2}=\frac{14}{2}=7\ \text{cm}\).

Step2: Use the volume formula for a sphere

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

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Answer:

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