A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its end. The length of the entire capsule is 14mm and the diameter of the capsule is 5mm. Find its surface area.
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Answer:
Step-by-step explanation:
the shape of the capsule = 2 hemisphere + 1 cylinder
Length of the capsule = 14 mm
Width of the capsule = 5 mm
To find,
The total surface area of the given capsule.
Solution,
The base diameter of the hemispheres = 5 mm
The radius of the hemispheres = 5/2 = 2.5 mm
The height of the hemisphere = 2.5 mm
The total height of the hemispheres = 2.5×2 = 5 mm
The height of cylinder = 14-5 = 9 mm
Surface area of cylinder = 2 × 22/7 × 2.5 × 9 = 141.42 mm²
Curved surface area of one hemisphere = 2 × 22/7 × (2.5)² = 2×22/7×6.25 = 39.28 mm²
CSA of two hemispheres = 39.28 × 2 = 78.56 mm²
Total surface area = 141.42 + 78.56 = 219.98 mm²
The approximate surface area of the capsule is 219.98 mm².
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