Question

A cylinder has a volume of 8000 cubic cm and base of 2000 cm. What is the height of the cylinder?

Answer 1

@ghazi

Answer 2

\[V = pir^2h\] plug in values for your volume and the base ( pir^2) then rearrange

Answer 3

since we know that \[V=\pi r^2 h\] and \[\pi r^2 \]= surface area of a circle we take 8000/2000 to get 4cm

Answer 4

I still dont understand, is this right?

Answer 5

Two equations, two variables: \[
8000 = \pi r^2h\\
2000 = 2r
\]

Answer 6

By "base of 2000 cm" do you mean the base has an area of 2000 cm^2?

Answer 7

Work backwards.

Answer 8

V= Area * height , substitution you get
8000 = 2000* h
8000/2000 = h
4 = h