Question

If the perpendicular height of the cone is half the slant height; then what is its semivertical angle.​

Answer 1

Answer:

Let

′

r

′

be the radius of the base of cone.

Now, in △OAB,

tanα=

h

r

⇒r=htanα

Now, Volume of cone =

3

1

πr

2

h=

3

1

π(htanα)

2

.h=

3

1

πh

3

tan

2

α

Step-by-step explanation:

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