Question

the volume of a sphere depends on the cube of its: a. radius b. circumference c. diameter d. height the volume of a sphere with a radius of 3 cm is approximately: a. 76.68 cm b. 84.78 cm c. 113.04 cm d. 123.25.04 cm

Explanation:

Step1: Recall the volume formula of a sphere

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

Step2: Substitute \(r = 3\) into the formula

When \(r = 3\), \(V=\frac{4}{3}\pi\times3^{3}\). First, calculate \(3^{3}=27\). Then \(V=\frac{4}{3}\pi\times27\). Since \(\frac{4}{3}\times27 = 36\), so \(V = 36\pi\).

Step3: Calculate the approximate value

Take \(\pi\approx3.14\), then \(V\approx36\times3.14=113.04\) \(cm^{3}\).

Answer:

For the first question: A. Radius.
For the second question: C. \(113.04\ cm^{3}\).