Question

1. what is the volume of a sphere with a radius of 5 m? use π ≈ 3.14.

a. 392.5 m³
b. 523.33 m³
c. 785.0 m³
d 261.67 m³

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given values into the formula

Given \(r = 5\space m\) and \(\pi\approx3.14\).
First, calculate \(r^{3}\): \(r^{3}=5^{3}=5\times5\times5 = 125\).
Then, substitute into the formula: \(V=\frac{4}{3}\times3.14\times125\).
Calculate \(\frac{4}{3}\times3.14\times125=\frac{4\times3.14\times125}{3}\).
\(4\times3.14\times125=(4\times125)\times3.14 = 500\times3.14=1570\).
So \(V=\frac{1570}{3}\approx523.33\space m^{3}\).

Answer:

B. \(523.33\space m^{3}\)