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 (ii) curved
surface area.
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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 (ii) curved
surface area.
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Answer:
Curved surface area of cylinder (S
1
)=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 (S
2
)=2π(1.75)r(0.5h)
=1.75πrh
Curved surface area decreases by =(
2πrh
2πrh−1.75πrh
×100)%
=(
2πrh
0.25πrh
×100)%
=12.5%