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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10

Question:

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 $14\text{ mm}$ and the diameter of the capsule is $5\text{ mm}$. Find its surface area.

Step-by-Step Solution

Key Concept: $r = 2.5\text{ mm}, h = 9\text{ mm}$. Area $= 2 \pi r h + 4 \pi r^2 = 2 \pi r(h + 2r) = 2 \times \dfrac{22}{7} \times 2.5 \times 14 = 220\text{ mm}^2$.
$r = 2.5\text{ mm}, h = 9\text{ mm}$. [0.5 Mark]
$\text{Surface Area} = 2 \times \dfrac{22}{7} \times 2.5 \times (9 + 5) = 44 \times 5 = 220\text{ mm}^2$. [1.5 Marks]

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🎯 Official CBSE Marking Scheme:
Finding cylinder length $h = 9\text{ mm}$: 0.5 Mark
Evaluating surface area $= 220\text{ mm}^2$: 1.5 Marks

Correct Answer:
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