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LuckyWell [14K]
3 years ago
11

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsul

e is 14 mm and the diameter of the capsule is 5mm.Find its surface area.
Mathematics
1 answer:
mezya [45]3 years ago
8 0
Diameter of the cylindrical portion of capsule = 5 mm
Length of the cylindrical portion of capsule = 14 mm - 5mm = 9 mm

Curved surface area of the cylindrical portion of capsule = 2\pi \: rh
= 2 \times \frac{22}{7} \times \frac{5}{2} \times 9 = \frac{990}{7} mm {}^{2}
Curved surface area of two hemisphere =4\pi \: r {}^{2}
= 4 \times \frac{22}{7} \times ( \frac{5}{2} ) {}^{2}
= 4 \times \frac{22}{7} \times \frac{25}{4} = \frac{550}{7} mm {}^{2}

Surface area of the capsule = Curved surface area of cylindrical portion + Curved surface area of hemispherical ends
= ( \frac{990}{7} + \frac{550}{7} ) \: mm {}^{2} = 220 \: mm {}^{2}
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