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
The correct answer is: C
Explanation
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