Question

1. a sphere has a volume of 904.32 cm³. what is its radius? use π ≈ 3.14.

a. 6 cm
b. 7 cm
c. 4 cm
d. 5 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 \(V\) is the volume and \(r\) is the radius.

Step2: Substitute the given values into the formula

Given \(V = 904.32\space cm^{3}\) and \(\pi\approx3.14\). So, \(904.32=\frac{4}{3}\times3.14\times r^{3}\).

Step3: Solve for \(r^{3}\)

First, simplify the right - hand side: \(\frac{4}{3}\times3.14 = 4.1867\). Then \(r^{3}=\frac{904.32}{4.1867}\). \(r^{3}=216\).

Step4: Find \(r\)

Since \(r^{3}=216\), then \(r=\sqrt[3]{216}\). \(r = 6\space cm\).

Answer:

A. 6 cm