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Assignment 4(1) The radius and height of a right circular cone are inthe ratio 3: 4. If its volume is 301.44 cm3, find itsradius and slant height. (T 3.14) (3 marks)Ans. |
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Answer» Let the radius and height of the right circular cone be 'r' and 'h' respectively.Now, it is given thatr/h = 3/4h = 4r/3Volume of the cone =301.44 cu cm (given)Volume of the cone = 1/3πr²h⇒301.44= 1/3*22/7*r²*4r/3⇒ r³ = 863.214⇒ r³ = 863⇒ r =∛863⇒ r = 9.5 cmSo, h = (4*9.5)/3h = 12.6cm = Now, let the slant height of the cone be 'l'.we know that,l² = r² + h²l² = 9.5² + 12.6²l² = 90.25+ 158.76l² = 249.01l =√249.01l = 15.8cm |
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