Question

A solid namely a right cire
a right circular cone, sho
sube are equal in heigh
radius of the sphere is
The radius of the base of
linder and cone are equal
Find
The slant height of the one
The curved surface aree an
terms of it
he curved surface area a
term ef T​

Answer 1

Answer:

Let the radius and height of cylinder and cone be r and h

Let slant height of cone be l

Curved surface area of cylinder=2πrh

Curved surface area of cone=πrl

Ratio=

CSA of cone

CSA of cylinder

=

πrl

2πrh

=

5

8

l

h

=

5

4

Squaring both side

l

2

h

2

=

25

16

l

2

=(

16

25

)h

2

h

2

+r

2

=(

16

25

)h

2

r

2

=(

16

9

)h

2

(

h

r

)

2

=(

4

3

)

2

h

r

=

4

3

Hence ratio of radius to height is 3:4.

Step-by-step explanation:

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