Home
Class 12
MATHS
The altitude of a cone is 20 cm and its ...

The altitude of a cone is 20 cm and its semi-vertical angle is `30^(@)`. If the semi-vertical angle is increasing at the rate of `2^(@)` per second, then the radius of the base is increasing at the rate of

A

30 cm/sec

B

`(160)/(3)` cm/sec

C

10 cm/sec

D

160 cm/sec

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.

The radius of an air bubble is increasing at the rate of 1/2 cm / s. At what rate is the volume of the bubble increasing when the radius is 1 cm ?

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference?

The radius of an air bubble is increasing at the rate of 1/2cm//s . At what rate is the volume of the bubble increasing when the radius is 1 cm?

The radius of a circle is increasing uniformly at the rate of 3 cm / s . Find the rate at which the area of the circle is increasing when the radius is 10cm .

The radius of a circle is increasing uniformly at the rate of 3cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

The radius of a balloon is increasing at the rate of 10cm/sec. At what rate is the surface area of the balloon increasing when the radius is 15 cm.

A cube is expanding in sch a way that its edge is increasing at a rate of 2 inches per second . If its edge is 5 inches long then the rate of change of its volume is