Question

26. If h, c, and V respectively are the height, the curved surface area and volume of a cone, prove that
3xVh - Ch? + 9V2 = 0.​

Answer 1

Answer:

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Step-by-step explanation:

Let r and l denote respectively the radius of the base and slant height of the cone.

l=

r

2

+h

2

V=

3

1

πr

2

h

C=πrl

Therefore,

3πVh

3

−C

2

h

2

+9V

2

=3π×

3

1

πr

2

h×h

3

−(πrl)

2

h

2

+9×(

3

1

πr

2

h)

2

=π

2

r

2

h

4

−π

2

r

2

l

2

h

2

+π

2

r

4

h

2

=π

2

r

2

h

4

−π

2

r

2

h

2

(r

2

+h

2

)+π

2

r

4

h

2

=π

2

r

2

h

4

−π

2

r

4

h

2

−π

2

r

2

h

4

+π

2

r

4

h

2

=0

Answer 2

$FØŁŁØW MƏ$

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