Question

If the diameter of base of a right circular cylinder in decreased by 10% then volume of cylinder remains the same, find the percentage increase in height (Assume diameter is 100cm)?
I know answer please tell me the steps please!!!
Ans = 23.46
I give 50 points, if answer is inappropriate I will report it.​

Answer 1

Step-by-step explanation:

Let the radius of the cylinder be r cm and height of the cylinder be h cm

As we know,

Volume of the cylinder = πr2h

If the radius of the cylinder decreased by , then new radius of the cylinder = r × (2/3) = 2r/3

If the height of the cylinder increased by 100% then the new height of the cylinder = h × (200/100) = 2h

New volume of the cylinder = π (2r/3)2 × 2h = 8πr2h/9

Volume decreased by = πr2h – 8πr2h/9 = πr2h/9

Volume decreased by (in %) = [πr2h/9πr2h] × 100 =

Short Trick:

= 1/3

Let height be 1 unit after increment height will be 2 unit, then

∴ Required percentage = [(9 – 8)/9] × 100 = (decrease)

Answer 2

Answer:

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