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

Question

asked Sep 7, 2020 232k views

2 Answers

Ckknight · Answer 1 · 2020-09-14T12:05:05+0000

Answer:

r ≅ 3.00

Explanation:

First we need to get the formula for finding the volume of sphere. The formula is:

$V=(4)/(3)\pi r^(3)$

Now to find for the radius, we need to input the value that we know into the formula.

$113.14=(4)/(3)\pi r^(3)$

Now we multiply both sides by 3/4.

$(3)/(4)x113.14=(4)/(3)\pi r^(3)$

$84.86=\pi r^(3)$

Now divide both sides by π.

$(84.86)/(\pi)=(\pi r^(3))/(\pi)$

27.01=r^(3)

To find r, we finally get the cube root of both sides.

$\sqrt[3]{r^(3) }= \sqrt[3]{27.01}$

r ≅ 3.00