Home
Class 12
MATHS
If theta is semi vertical angle of a con...

If `theta` is semi vertical angle of a cone of maximum volume and given slant height, then `tantheta` is equal to

A

2

B

1

C

`sqrt(2)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A flagpole stands on a building of height 450 ft and an observer on a level ground is 300 ft from the base of the building .The angle of elevation of the bottom of the flagpole is 30^(@) and the height of the flagpole is 50 ft . If theta is the angle of elevation of the top of the flagpole , then tan theta is equal to

A javelin is thrown with an initial velocity v_0 at an angle theta with the horizontal. Find the angle of projection at which the maximum height attained by the javelin is equal to the horizontal range.

A cicular sheet of paper is devided into two sectors. Central angle of one of them is 160^o . These sectors are bent into cones of maximum volume. If the radius of the small cone is 8 centimetres, what is the radius of the other?

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^-1(1/3) .

Find the height of the cylinder of maximum volume that can be inscribed in a sphere of radius a.

A solid is made by fixing a hemisphere of same radius on the flat face of a cone. The height of the cone is 12 centimetres and its slant height is 13 centimetres. What is the radius of the cone? .

Whatis the area of the curved surface of a cone of base radius 12 centimetres and slant Height 25 centimetres?