Question

The ping pong ball is a sphere and has a volume of 1.77in. What is the diameter of the ping pong ball?

Answer 1

Answer:

d =1.501060821 in

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The volume is 1.77 in^3

1.77 = 4/3 (3.14) r^3

1.77 = 4.1866666 r^3

Divide each side by 4.18666666

1.77/4.18666666 = r^3

.422770701 = r^3

Take the cube root of each side

(.422770701)^(1/3) = (r^3)^1/3

.75053041 = r

But we want to find the diameter.  The diameter is twice the radius.

d= 2r

d = 2(.75053041)

d =1.501060821 in