Question

the radius of the sphere is 10 units. what is the approximate volume of the sphere? use π = 3.14 and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

Explanation:

Step1: Recall the volume formula for a sphere

The formula for the volume \( V \) 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

We are given that \( r = 10 \) units and \( \pi=3.14 \). Substituting these values into the formula, we get:
\( V=\frac{4}{3}\times3.14\times10^{3} \)
First, calculate \( 10^{3}=1000 \). Then the expression becomes:
\( V=\frac{4}{3}\times3.14\times1000 \)

Step3: Perform the multiplication

First, calculate \( \frac{4}{3}\times3.14=\frac{12.56}{3}\approx4.1867 \)
Then multiply this result by 1000: \( 4.1867\times1000 = 4186.7\approx4187 \) (rounded to the nearest whole number)

Answer:

4187 cubic units