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Surface Areas and Volumes
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27/06/2021 12:09 pm
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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
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27/06/2021 12:14 pm
Here, the diameter of the capsule = 5 mm
∴ Radius = 5/2 = 2.5 mm
Now, the length of the capsule = 14 mm
So, the length of the cylinder = 14 - (2.5 + 2.5) = 9 mm
∴ The surface area of a hemisphere = 2πr2
= 2 × (22/7) × 2.5 × 2.5
= 275/7 mm2
Now, the surface area of the cylinder = 2πrh
= 2 × (22/7) × 2.5 × 9
= (22/7) × 45 = 990/7 mm2
= 2×surface area of hemisphere + surface area of the cylinder
= (2×275/7) × 990/7
= (550/7) + (990/7) = 1540/7
= 220 mm2