Question

The volume of a cylinder, found using 3.14 to approximate pi, is 50,240 cm3, and the radius is 40 cm.

What is the height of the cylinder?

Answer 1

volume of cylinder=height times (area of base)
area of base=circle=pi times radius^2

so volume=height times pi times radus^2

if pi=3.14 and volume=50240 and radius=40, solve for height
subsitute
50240=height times 3.14 times 40^2
50240=height times 3.14 times 1600
50240=height times 5024
divide both sides by 5024
10=height

the height =10 cm

Answer 2

V = pi * r^2 * h

Plug in what we know:

50240 = 3.14 * 40^2 * h

Simplify the exponent:

50240 = 3.14 * 1600 * h

Multiply:

50240 = 5024h

Divide 5024 to both sides:

h = 10

So the height is 10.