Question

A farm supply store sells a variety of treat balls for small and large animals. Martha wants to purchase a ball that can hold 1437 cubic centimeters of treats. What is the diameter of the ball she should purchase? Round to the nearest whole number.

The volume of a sphere is v=4/3 x 3.14 r to the the third power

Answer 1

Answer: 14 centimeters.

Explanation:

You need to use the formula for calculate the volume of a sphere:

`V=(4)/(3)(3.14r^3)`

Where the radius of the sphere is "r".

As you know the volume of the ball, you can susbtitute it into the formula
`V=(4)/(3)(3.14r^3)`, and solve for the radius "r":

`1437=(4)/(3)(3.14r^3)\\\\3( 1437)=4(3.14r^3)\\\\4311=12.56r^3\\\\r=\sqrt[3]{(4311)/(12.56)}\\\\r=7.0cm`

The diameter of the ball can be calculated with:

`D=2r`

Where r is the radius of the ball.

Substituting the radius of the ball into
`D=2r`, you get that the diameter of the ball that she should purchase, rounded to the nearest whole number, is:

`D=2(7.0cm)\\D=14.0cm\\D=14cm`