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A solid is in the form of a cylinder with hemispherical ends the total height of the solid is 20 cm and the diameter of the cylinder is 7 cm find the total volume of the solid used by is equal to 22 upon 7

Posted by Sarvesh Pandey 6 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 1 month ago

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

r = {tex} 7 \over 2{/tex}cm, h = 19 - 2 {tex} 7 \over 2{/tex}= 12 cm

Volume of solid = Vol. of cylinder + Vol. of two hemispheres

=r²h + 2[2/3 r³]

= (7/2)²× 12 +4/3 [7/2]³

= 641.66 cm³

T.S.A. = C.S.A. of cylinder + S.A. of two hemisphere.

= 2rh + 2 (2 r²) = 2r (h + 2r)

=2× 7/2[12 + 7]

= 22 19 cm²

= 418 cm²

1Thank You

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