A medicine capsule is a cylinder of diameter 0.5 cm with two hemispherical ends. The length of the capsule is 2 cm. Its capacity is
0.36 cm³
0.35 cm³
0.34 cm³
0.33 cm³
Step 1: The capsule is made of a cylinder with two hemispherical ends.
Step 2: Diameter of capsule = 0.5 cm.
Radius \(r = \dfrac{0.5}{2} = 0.25\,\text{cm}\).
Step 3: Total length of capsule = 2 cm.
The two hemispherical ends together make one full sphere of radius 0.25 cm.
So, cylindrical length \(h = 2 - 2r = 2 - 0.5 = 1.5\,\text{cm}\).
Step 4: Volume of cylinder = \(\pi r^2 h\).
\(= 3.1416 \times (0.25)^2 \times 1.5\).
\(= 3.1416 \times 0.0625 \times 1.5 = 0.2945\,\text{cm}^3\).
Step 5: Volume of sphere = \(\dfrac{4}{3}\pi r^3\).
\(= \dfrac{4}{3} \times 3.1416 \times (0.25)^3\).
\(= \dfrac{4}{3} \times 3.1416 \times 0.015625\).
\(= 0.0654\,\text{cm}^3\).
Step 6: Total volume = volume of cylinder + volume of sphere.
\(= 0.2945 + 0.0654 = 0.3599 \approx 0.36\,\text{cm}^3\).
Final Answer: The capacity of the capsule is 0.36 cm³ (Option A).