The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take $\pi = \frac{22}{7}$ )

48cm³

47cm³

38cm³

12cm³

Correct answer is C

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

h² = 5² = 3²

= 25 - 9 = 16

h = $\sqrt{16}$

h = 4cm

v = $\frac{1}{3} \times \frac{22}{7} \times 3^2 \times 4$

$\frac{1}{3} \times \frac{22}{7} \times 9 \times 4$

= $\frac{22 \times 3 \times 4}{7}$

= 37.7cm³

= 38cm³

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