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Mensuration: Areas and Volumes · Question 47 of 68

Question 47

EasyOriginal question

A conical heap of grain has a base radius of 7 m and a height of 24 m. What is the volume of the heap? Take π=227\pi = \frac{22}{7}.

Options for question 47

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Volume of a cone = 13πr2h\frac{1}{3}\pi r^2 h.

  2. = 13×227×7×7×24=1232\frac{1}{3} \times \frac{22}{7} \times 7 \times 7 \times 24 = 1232 m³.

Worth noting

3,696 m³ forgets the ⅓ (that is a cylinder), and 4,928 m³ uses 14 m as the radius.

Concept
Volume of a cone
Typical time
40 s
Your time
—
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.