Q.37 There is a cylinder of height 30 cm and its radius is 14 cm. It is melted to form a new
cylinder of radius 7 cm. The height of the new cylinder is
Answers
as volume of first cylinder=v1=v2
let use the formula of volume of cylinder
v=
putting value
v=22/7 x x 30
v=3.14 x196 x30
v=18463.2
as v1=v2
now
new cylinder
v=
18463.2=22/7 x7 xh
h= 18463.2/ 22
h=839.236
hence height of new cylinder is=839.236
Given: There is a cylinder of height 30 cm and its radius is 14 cm. It is melted to form a new cylinder of radius 7 cm.
To find: Height of the new cylinder
Explanation: Let the radius and height of the first cylinder be r1 and h1 respectively.
r1=14 cm
h1= 30 cm
Volume of first cylinder
Since this cylinder is melted to form a new cylinder, the volume occupied by both the cylinders are same.
Therefore, volume of new cylinder= 18463.2
Let the radius and height of the new cylinder be r2 and h2 respectively.
r2= 7 cm
Volume of second cylinder
Therefore,
153.86 × h2 = 18463.2
=> h2 = 120 cm
Therefore, height of the new cylinder is 120 cm.