Question

the radius, r, of a sphere is 7.4 cm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi R^{3} \).

Step2: Substitute the given values

Given \( R = 7.4\) cm and \( \pi=3.14\). First, calculate \( R^{3}=(7.4)^{3}=7.4\times7.4\times7.4 = 405.224\). Then, \( \frac{4}{3}\times3.14\times405.224\).
\(\frac{4}{3}\times3.14 = 4.1866\cdots\).
\(4.1866\times405.224\approx1706.5\)

Answer:

\(1706.5\)