Question

The height of cylinder II is twice the height of cylinder I. The ratio of the radii of cylinder I to that of cylinder II is 2 : 3.

What is the ratio of the volume of cylinder I to that of cylinder II?

Answer 1

Answer:

Volume of cylinder=πr

2

h

Let the radius of cylinder A be r and cylinder B be R

∴r=2R(Given)

Let the height of Cylinder A b h and B be H

∴2h=H(Given)

Volume of Cylinder A will be =πr

2

h

Volume of Cylinder B will be =πR

2

H

Substituting r=2R and H=2h in the formulas we get

Volume of Cylinder A will be =π(2R)

2

h=π4R

2

h

Volume of Cylinder B will be =πR

2

(2h)

Ratio=

Volume of B

Volume of A

=

πR

2

2h

π4R

2

h

(Canselling the like terms)

=2