Home
Class 12
MATHS
The volume of a cylinder is given by the...

The volume of a cylinder is given by the formula `V=pir^(2)h`. Find the greatest and least values of V if r + h = 6.

Text Solution

Verified by Experts

The correct Answer is:
So the maximum volume =`32pi` and the minimum volume =0
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.9|2 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.10|20 Videos

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.7|3 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

Find the greatest and the least value of |z_1+z_2| if z_1=24+7ia n d|z_2|=6.

The velocity of a body is given by the equation v= b//t + ct^(2) + dt^(3) . Find the dimensional formula for b.

Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.

If 9^7+7^9 is divisible b 2^n , then find the greatest value of n ,w h e r en in Ndot

A regular square based pyramid is inscribed in a sphere of given radius R so that all vertices of the pyramid belong to the sphere. Find the greatest value of the volume of the pyramid.

Write down the formula used to find the volume of a cylinder.

What happens to the volume of the cylinder with radius r and height h, when its (a) radius is halved, (b) height is halved.