Question

If the radius of the right circular cylinder is doubled and the height is halved, then the ratio of the new volume and the previous volume of the cylinder is?

A 3 : 1 Correct Answer Incorrect Answer
B √2 : 1 Correct Answer Incorrect Answer
C 1 : 1 Correct Answer Incorrect Answer
D 2 : 1 Correct Answer Incorrect Answer

Solution

let the height of cylinder = h radius of cylinder = r volume of cylinder =πr2h when radius = 2r & height = h/2 New volume of cylinder = π4r2(h/2) Required ratio = π4r2(h/2) : πr2h = 2:1

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