Question

Radius of a cylinder is r and the height doub(r=14m h=7m). Find the change in the volume if the: A.height is doubled B.height is Tripled C.height is Reduced to one fourth D.height is doubled and the radius is halved E.height remains the same and the radius is halved.​

Answer 1

Answer:

Step-by-step explanation:

Volume of cylinder = πr²h.

a) height is doubled.

   New volume = πr²(2h) = 2πr²h.

   Hence volume is doubled.

b) Height is tripled.

 New volume = πr²(3h) = 3πr²h.

   Hence volume is tripled.

C) Height is reduced to one-fourth

   New volume = πr²(h/4) = 1/4πr²h.

   Hence volume is reduced by one-fourth.

D)height is doubled and the radius is halved

   New volume = π(r/2)²(2h) = 1/2πr²h

  Hence volume is halved.

E) height remains the same and the radius is halved.

   New volume = π(r/2)²(h) = 1/4πr²h

   Hence volume is reduced by one-fourth.