A medicine capsule is a cylinder 10 mm long with a hemisphere of radius 7 mm fixed at each end. What is the total outer surface area of the capsule? Take $\pi = \frac{22}{7}$ .

748 mm²Correct answerYour answer1,056 mm²Correct answerYour answer1,364 mm²Correct answerYour answer1,672 mm²Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Cylinder wall = $2 \times \frac{22}{7} \times 7 \times 10 = 440$ mm².
Two hemispheres make one sphere: $4 \times \frac{22}{7} \times 7 \times 7 = 616$ mm².
Total = $440 + 616 = 1{,}056$ mm².

Worth noting

748 mm² treats each hemisphere end as a flat circle. 1,364 mm² adds two circular faces that are hidden inside the joins.

Ten questions from Mensuration: Areas and Volumes, at your own pace.

A medicine capsule is a cylinder 10 mm long with a hemisphere of radius 7 mm fixed at each end. What is the total outer surface area of the capsule? Take π=227\pi = \frac{22}{7}π=722​.