Question

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Answer 1

Step-by-step explanation:

ANSWER

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

l= r 2 +h 2

V= 31 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