Q:

If the volume of the crystal ball is about 113.14 cm3, the radius of the ball is approximately

Accepted Solution

A:
Answer:r β‰… 3.00Step-by-step explanation:First we need to get the formula for finding the volume of sphere. The formula Β is:[tex]V=\frac{4}{3}\pi r^{3}[/tex]Now to find for the radius, we need to input the value that we know into the formula.[tex]113.14=\frac{4}{3}\pi r^{3}[/tex]Now we multiply both sides by 3/4.[tex]\frac{3}{4}x113.14=\frac{4}{3}\pi r^{3}[/tex][tex]84.86=\pi r^{3}[/tex]Now divide both sides by Ο€.[tex]\frac{84.86}{\pi}=\frac{\pi r^{3}}{\pi}[/tex][tex]27.01=r^{3}[/tex]To find r, we finally get the cube root of both sides.[tex]\sqrt[3]{r^{3} }= \sqrt[3]{27.01}[/tex]r β‰… 3.00