Mathematics WAEC / WASSCE 2010 Number and Numeration
(a) Curved Surface Area = \(\pi rl\) \(115.5 = \frac{22}{7} \times r \times 10.5\) \(115.5 = 33r\) \(r = \frac{115.5}{33} = 3.5 cm\) (b) \(\therefore h^{2} + (3.50)^{2} = (10.5)^{2}\) \(h^{2} = 10.5^{2} - 3.5^{2}\) \(h^{2} = 98 \implies h = \sqrt{98}\) \(h = 9.8994 cm \approxeq 9.90 cm\) (c) Volume of a cone = \(\frac{1}{3} \pi r^{2} h\) = \(\frac{1}{3} \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 9.90\) = \(\frac{23.1 \times 11}{2}\) = \(127.05 cm^{3} \approxeq 127 cm^{3}\)