A medicine capsule is shaped like a cylinder with two hemispheres attached to each of its ends. The length of the entire capsule is 15mm, and its diameter is 6 mm. Calculate the surface area (in mm2, rounded to the nearest integer) of the capsule. (Use π = 22/7)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 283.
r = 3 mm, total length = 15 mm
→ cylinder height = 15 − 2r = 9 mm
Surface area = (lateral cylinder) + (sphere)
Surface area = 2πrh + 4πr² = 2π × 3 × 9 + 4π × 3² = 90π ≈ 282.74
→ 283 mm²