Q. 615.0( 1 Vote )
The radii of the
Given: The radii of the base of a cylinder and a cone are in the ratio 3:4.
Heights of the base of a cylinder and a cone are in the ratio 2:3.
Volume of cylinder is: πr2h (here r and h are radius and height of the cylinder respectively)
Volume of cylinder is: πr2h
Let V1 be the volume of first cylinder
∴ V1 = π(r1)2h1
Let V2 be the volume of the cone.
∴ V2 = π(r2)2h2
∴ V1 : V2 = π(r1)2h1 : π(r2)2h2
⇒ V1 : V2 = π × (3)2 × 2 : × π × (4)2 × 3
⇒ V1 : V2 = 18π : × 48π = 18:16 = 9:8
∴ V1 : V2 = 9:8
That is the ratio of their volume is 9:8.
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