Question

The ratio of the radii of two right circular cones of same height is 1:3. Find the ratio of their curved surface area when the height of each cone is 3 times the radius of the smaller cone?
​

Answer 1

QUESTION :-

The ratio of the radii of two right circular cones of same height is 1:3. Find the ratio of their curved surface area when the height of each cone is 3 times the radius of the smaller cone?

SOLUTION :-

➠We are given that The ratio of the radii of two right circular cones of same height is 1:3.

➠Let the ratio be x

➠So, radius of small cone = x

➠Radius of large cone = 3x

➠Height of both the cones are same .

➠We are given that the height of each cone is 3 times the radius of the smaller cone.

➠So, Height = 3x

➠ (Curve surface area)1= 2πrh

➠ (Curve surface area)1 = 2 * π * 3x * x

➠ .°. (Curve surface area)2 = 2πrh

➠ ( Curve surface area)2 = 2*π*3x *3x

➠.°. ratio of their curve surface area =(Curve surface area)1 / (Curve surface area.)2

➠ 2 * π * 3x * x / 2*π*3x *3x

➠ 3x * x / 3x * 3x

➠ x * x /x * 3x

➠ 1 / 3

.°. ratio of their curve surface area is 1:3.

Answer 2

Step-by-step explanation:

I hAVE attached the answer... hope it helps you... mark me as brainlist