Question

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

Answer 1

Step-by-step explanation:

Let r cm be the radius and h cm the height of the cylinder. Then,

r=27cm;h=(19−2×27)cm=12cm

Also radius of hemisphere =27cm=rcm

Now,

volume of the solid = volume of the cylinder + volume of two hemisphere

{πr2h+2(32πr3)}cm3=πr2(h+34r)cm3

=⎩⎪⎨⎪⎧722×(27)2×(12+34×27)⎭⎪⎬⎪⎫cm3=722×27×27×3