Question

The radius of a cylinder is 15 cm. The volume of the cylinder, found using 3.14 to approximate pi, is 19,782 cm3.

What is the height of the cylinder?

Express your answer as a whole number.

______cm

Answer 1

Formula:


`\sf~V=\pi~r^2h`

Plug in what we know:


`\sf~19782=(3.14)(15)^2h`

Simplify the exponent:


`\sf~19782=(3.14)(225)h`

Multiply:


`\sf~19782=706.5h`

Divide 706.5 to both sides:


`\sf~h=\boxed{\sf28}`