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

Question

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

anonymous · Answer

@ghazi

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

I still dont understand, is this right?

anonymous · Answer

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

mathstudent55 · Answer

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

anonymous · Answer

Work backwards.

anonymous · Answer

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