A solid is in the form of a cylinder with hemispherical ends. The total height of the solid

is 20 cm and diameter of t

1 thought on “A solid is in the form of a cylinder with hemispherical ends. The total height of the solid <br /><br />is 20 cm and diameter of t”

1. Answer:

   Given diameter of the cylinder is = 7 cm

   As radius of the cylinder = radius of the hemisphere

   So r is 7/2 = 3.5 cm

   Given height of the solid is 20 cm

   So height of the cylinder is = 20 – 2(3.5) = 13 cm

   Hence volume of the solid

   = volume of the cylinder + 2 x volume of the hemisphere

   = πr2h + 2 x 2/3 x πr3

   = 22/7 x 3.5 x 3.5 x 13 + 2 x 2/3 x 22/7 x 3.5 x 3.5 x 3.5

   = 500.5 + 179.66

   = 680.16 cm³

   Hence the volume of the solid is 680.16 cm

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