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A medicine-capsule is in the shape of a cylinder of diameter 0.5 cm with two hemispheres stuck to each of its ends. The length of the entire capsule is 2 cm. What is the capacity of the capsule?

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0.36

c m 3

0.35

c m 3

0.34

c m 3

0.33

c m 3

answer is A.

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Detailed Solution

Given that the capsule length is 2cm, which consists of the radius of two hemispherical ends and the height of the cylinder.
So, the height of the cylinder is

2 − 0.5 = 1.5

.
Now calculating the capacity of the capsule:

V = 4 π 3 d 2 3 + π d 2 2 h

V = 4 π 3 0.5 2 3 + π 0.5 2 2 1.5 V = π 0.0208 + 0.09375 V = π 0.11455 V ≈ 0.36 c m 3

Therefore, 1 is the correct option.

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