A wooden article is made by scooping out a hemisphere from both ends of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, match the column.
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Solution
A....Volume of cylinder=πr2h=π(3.5)2(10)=122.5πcm3....(3)
B....Volume of scoops=2×23π(3.5)3=171.53πcm3...(4)
C....Total surface area of cylinder=2πr(r+h)cm2=2×3.142×3.5(3.5+10)=297cm2.........(2)
D....Volume of article = Volume of cylinder - Volume of scoops
∴ Vol. of article =122.5π−171.53π=6163.........(1)