Question

The radius of the base of a right circular cylinder is increased by 75% and the height is decreased by 50%. Find the per cent increase or decrease in the
(1) volume, and
(i) curved surface area.

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Answer 1

Answer:

(1)94%

(2)12.5%

Hope it's helpful to you

Answer 2

Curved surface area of cylinder (S1)=2πrh

radius is increased by 75%

So,new radius =1.75r

height is decreased by 50% so the

new heights 0.5h

Curved surface area (S2)=2π(1.75)r(0.5h)=1.75πrh

Curved surface area decreases by =

$= ( \frac{2\pi \: rh - 1.75\pi \: rh}{2\pi \: rh} \times 100)\%$

$= ( \frac{0.25\pi \: rh}{2\pi \: rh } \times 100 )\%$

$= 12.5\%$