The slant height of a cone is 5cm and the radiu... - WAEC Mathematics 2013 Question
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}))
A
48cm3
B
47cm3
C
38cm3
D
12cm3
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Correct Option: 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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