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The sum of the legs of a right triangle ...

The sum of the legs of a right triangle is 9 cm. When the triangle rotates about one of the legs, a cone result which has the maximum value. Then

A

slant height of such a cone is `3sqrt5`

B

maximum volume of the cone is `32 pi`

C

curved surface of the cone is `18 sqrt5 pi`

D

semi vertical angle of cone is `tan^(-1) sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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Knowledge Check

  • The solid formed when a right triangle is rotated about one of the sids containing the right angle in a _____

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