Question

Q.3) Two cylinders having the same volume, have their heights in the ratio of 1:4. Find the
ratio of their radii.
Q.4) A rectangular piece of paper 44 cm long and 16 cm broad is rolled along its length to
form a cylinder. What is the radius of the cylinder? What is its volume?

Answer 1

Q3)

The ratio of height of the two cylinders = 1:4

Let the heights of two cylinders be h and 4h

respectively.

Let the radii of two cylinders be x and y respectively.

A.T.Q.

REFER TO DIAGRAM

Hence, the ratio of radii of two cylinders is 2:1

Q4)

L= 44 cm

b = 16 cm

In this case if it is folded in cylinder then the height would be 16 cm.

Ans 44 cm will be the = 44 cm

b = 16 cm

In this case if it is folded in cylinder then the height would be 16 cm.

2 * 22/7 * r = 44

r = 7 cm

Volume of cylinder - 22 / 7 * r * r * h

= 22/7 * 7 * 7 * 16

= 22* 7 * 16

= 154 * 16

= 2464 cm2.

2 * 22/7 * r = 44

r = 7 cm

Volume of cylinder - 22 / 7 * r * r * h

= 22/7 * 7 * 7 * 16

= 22* 7 * 16

= 154 * 16

= 2464 cm2