Question

You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

The volume of the ball is
`9,198.11\ in^(3)`

Explanation:

we know that

The volume of a sphere (yoga ball) is equal to

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

In this problem we have

`r=26/2=13\ in` -----> the radius is half the diameter

substitute

`V=(4)/(3)(3.14)(13^(3))=9,198.11\ in^(3)`

Answer 2

the formula for volume of a ball is:

V = 4/3 x PI x r^3
we are told PI = 3.14

the diameter is 26 inches so r ( radius )= 26 / 2 = 13 inches

now we have V = 4/3 x 3.14 x 13^3

V = 9198.11 cubic inches