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Cost of whitewashing a sphere is 1232₹ at the rate of 2₹/cm^2. What is the volume of a sphere? (Take π = \(\frac{22}{7}\))(a) \(\frac{4324}{3}\)(b) \(\frac{4317}{5}\)(c) \(\frac{4312}{3}\)(d) \(\frac{4312}{7}\)This question was addressed to me in an interview for job.I would like to ask this question from Volume of a Sphere topic in division Surface Areas and Volumes of Mathematics – Class 9 |
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Answer» RIGHT answer is (c) \(\frac{4312}{3}\) The explanation is: AREA of a SPHERE = \(\frac{Total \,cost \,of \,whitewashing}{Rate \,of \,whitewashing/cm^2}\) = \(\frac{1232}{2}\) = 616 cm^2 We know that total surface area of a sphere = 4πr^2 4πr^2 = 616 r^2 = \(\frac{616*7}{22*4}\) = 49 Therefore, r = 7cm Now, volume of a sphere = \(\frac{4}{3} πr^3\) = \(\frac{4}{3} * \frac{22}{7}\) * 7^3 = \(\frac{4312}{3}\). |
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