Q.

A solid is in the form of a cylinder with hemispherical  ends. The total height of the solid is 19cm and the diameter of the cylinder is 7 cm. Then the volume and total surface area of the solid is. 

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a

682.82 cm3,481 cm2

b

684.84 cm3,418 cm2

c

685. cm3184 cm2

d

641.66 cm3,418 cm2

answer is A.

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Detailed Solution

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radius =72cm

height of cylinder h=12cm

volume of solid

= volume of cylinder +2. Volume of hemisphere

=πr2h+2.23πr3

=πr2(h+43r)

=227×72×72(12+43.72)

=772×503

=641.66cm3

Total surface area of solid (2)

=L.S.A of cylinder +2. L.S.A of hemisphere

=2πrh+2.2πr2

=2πr(h+2r)

=2×227×72(12+2.72)

=22×19

T.S.A=418cm2

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