Q6 of 79 Page 238

The radius and height of a cylinder are in the ratio 5 : 7. If its volume is 4400 cu.cm, find the radius of the cylinder.

GIVEN : radius of solid cylinder = “r”


height of solid cylinder = “h”


=


volume of the cylinder “V” = 4400cm2


we take π =


TO FIND : radius of a solid cylinder = ?


PROCEDURE :


As we know, that


Volume of a cylinder “V” = π r2h


Also, we have, =


⇒ = ⇒ h = r ×


So we now put the values of V and h in the above formula for V,


So we get, 4400 = π ×(r)2×( r × )


4400 = × r3×


4400 × × = r3


200 × 5 = r3


1000 = r3


So, r = ∛ 1000 = 10


∴ radius of the given cylinder = 10cm.


More from this chapter

All 79 →
4

Volume of a solid cylinder is 62.37 cu.cm. Find the radius if its height is 4.5 cm.

 5

The radii of two right circular cylinders are in the ratio 2 : 3. Find the ratio of their volumes if their heights are in the ratio 5 : 3.

 7

A rectangular sheet of metal foil with dimension 66 cm x 12 cm is rolled to form a cylinder of height 12 cm. Find the volume of the cylinder.

 8

A lead pencil is in the shape of right circular cylinder. The pencil is 28 cm long and its radius is 3 mm. If the lead is of radius 1 mm, then find the volume of the wood used in the pencil.