A medicine capsule is in the form of a cylinder with two hemispheres joined together at the ends. Find the surface area if the length of the capsule is 14 mm and the width is 5 mm.

A medicine capsule is in the form of a cylinder with two hemispheres joined together at the ends. Find the surface area if the length of the capsule is 14 mm and the width is 5 mm. Correct Answer 219.8 mm2

Radius of the common base (r) = 2.5 mm because the width of the capsule is equal to the diameter of the cylinder. Length of the cylinder (h) = length of the capsule – 2(radius of the hemisphere) = 14 – 2(2.5) = 9 mm The surface area of the capsule = C.S.A of the cylinder + 2(C.S.A of the hemisphere) = 2πrh + 2(2πr2) = (2 × 3.14 × 2.5 × 9) + 2(2 × 3.14 × 2.52) = 219.8 mm2
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