MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

C.S.A of the Cone

the ratio of ...

Question

the ratio of radii of two cones is 2 is to 3 and slant height is 9 is to 4 then ratio of their curved surface area is dash

Open in App

Solution

Curved surface are of cone = πrL

Given ratio of radius = 2:3

So r1 = 2x, r2 = 3x

Slant height ratio = 9:4

So L1 = 9y , L2 = 4y

Curved suface area of cone 1 = πr1L1
CS1 = 18πxy

Curved surface of cone 2 = πr2L2
CS2 = 12πxy

CS1:CS2 = 18 : 12 = 3:2

Answer : 3:2

Suggest Corrections

thumbs-up

3

Similar questions

Q. Two right circular cones have equal radii. If their slant heights are in the ratio

4 : 3

, then their respective curved surface areas are in the ratio:

Q. The radii of two right circular cone are in the ratio of

4 : 5

and their slant heights are in the ratio

2 : 3

. Then the ratio of their curved surfaces is:

Q. The ratio of radii of two cylinders is

1 : \sqrt{3}

and their heights are in the ratio 2 : 3. The ratio of their curved surface area is:

Q. The ratio of radii of two right circular cylinders is

2 : 3

and the ratio of their heights is

5 : 4

. Find the ratios of their curved surface areas and volumes.

Q. If the ratio of radii of two cylinders is 2 : 1 and ratio of their heights is 3 : 4, find the ratio of curved surface areas of the cylinders.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Surface Area of Solids

MATHEMATICS

Watch in App

explore_more_icon

Explore more

C.S.A of the Cone

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon