Math, asked by swathi325, 5 months ago

A sphere ,a cylinder and a cone are the same radius where as a cone and cylinder are the same hight and radius . find the ratio of their curved surface area​

Answers

Answered by sahumanoj0331
1

Answer:

Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.

Then

Curved surface area of Sphere=4πr²

Curved surface area of cylinder =2πr(2r)=4πr²

Curved surface area of cone = πrl

where, l=

(r

2

+h

2

)=

(r2+(2r)

2

)=

5r

2

=r

5

⇒ Curved surface area of cone =π

5r

2

Now,

ratio of CSA 's a sphere ,cylinder and a cone = 4πr

2

:2πrh:πrl

=4πr

2

:4πr

2

:πr

2

5

=4:4:

5

Answered By

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