Question

if the radius of a cylinder is doubled and height is halved, what will be volume of the new cylinder
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Answer 1

ANSWER:

• Volume of new cylinder = 2(Volume of old cylinder)

GIVEN:

• Radius of cylinder is doubled.
• Height of cylinder is halved.

TO FIND:

• Volume of new cylinder.

SOLUTION:

• Let the radius of cylinder = 'r'.
• Let the height of cylinder = 'h'

• Volume of old cylinder = πr²h

Now:

• Height of new cylinder = h/2
• Radius of new cylinder = 2r

Volume of new cylinder = π(2r)²(h/2)

= π(4r²)*(h/2)

= 2πr²h

Volume of new cylinder = 2(Volume of old cylinder)

NOTE:

Some important formulas:

• Volume of cylinder = πr²h
• Lateral surface area of cylinder = 2πrh
• Total surface area of cylinder = 2πr(r+h)
• Volume of cube = (Edge)³
• Volume of Cuboid = (length)(breadth)(height)