Question

VOLUME OF CYLINDER

A cylindrical tank holds 14,130 in3 of water. Ida empties the tank into 25 identical smaller cylinders, each with a radius of 3 in.

What is the height of the 25 smaller cylinders?
Use 3.14 to approximate pi.

Answer 1

V = pi * r^2 * h

Plug in what we know:

14130 = 3.14 * 3^2 * h

Simplify exponent:

14130 = 3.14 * 9 * h

Multiply:

14130 = 28.26h

Divide 28.26 to both sides:

h = 500

Now divide by 25, since there are 25 cylinders.

500 / 25 = 20

So the height of each container is 20.