the two cylinders are similar. (large cylinder h=?,r=8m *small cylinder h=14m, r=2m) What is the volume of the larger cylinder

Question

the two cylinders are similar. (large cylinder h=?,r=8m *small cylinder h=14m, r=2m) What is the volume of the larger cylinder

Answer 1

Since the cylinders are similar, we can set a proportion to find the height of the larger cylinder.   Once we have the height, we can find the volume of that cylinder.

 

Ratio of height (large to small) = ratio of radii (large to small).

 

(h / 14) = (8 / 2)

 

h / 14 = 4

 

h = 56

 

 

The height of the larger cylinder is 56m.

 

Volume of cylinder is

 

V = πr²h

V = π(8)²(56)

V = 3584π