. A sphere , a cylinder and a cone are of the same radius and same height. Find the ratio of their curved surface areas
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Answer:
a sphere besdrop is 20 30 is called ....
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Answer:
4:4:√5
Step-by-step explanation:
Let r be the common radius of a sphere, a cone, and a cylinder
Then
height of sphere=height of cylinder=2r
let l be the slant height of the cone. Then,
l=√r²+h²
l=√r²+4r²
l=√5r2
l=5r
S1=C.S.A of sphere=4πr²
S2=C.S.A of cylinder=2πr×2r=4πr²
S3=C.S.A of cone=πrl=πr*√5r=√5πr²
S1:S2:S3=4πr²:4πr²:√5πr²
=4:4:√5
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