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Mensuration: Areas and Volumes · Question 46 of 68

Question 46

EasyOriginal question

A hemispherical bowl has an inner radius of 21 cm. How much can it hold, in cubic centimetres? Take π=227\pi = \frac{22}{7}.

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Volume of a hemisphere = 23πr3\frac{2}{3}\pi r^3.

  2. = 23×227×21×21×21=19,404\frac{2}{3} \times \frac{22}{7} \times 21 \times 21 \times 21 = 19{,}404 cm³.

Worth noting

38,808 cm³ is a full sphere. A hemisphere is half of it.

Concept
Volume of a hemisphere = (2/3)πr³
Typical time
40 s
Your time
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The rule this testsCylinders, cones and spheres
Practise this chapter →

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

Practise this chapter →

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