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Textbook Page No. 200, , Question 1., The base radius and height of a, cylindrical block of wood are 15, centimetres and 40 centimetres., What is the volume of the largest, cone that can be carved out of this?, Answer:, , r= 15cm, h = 40cm, 1, , Volume of cone = =, , 2, g mre h, , 15cm, , 40 cm, , % 1x 15x 15 x 40, , 3000rt = 3000 x 3.14, = 314 x 30, = 9420 cm?

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The base radius and height of a solid, metal cylinder are 12 centimetres and, 20 centimetres. By melting it and, recasting, how many cones of base, radius 4 centimetres and height 5, centimetres can be made?, , Answer:, , No. of cones = Volume of, cylinder/Volume of cone Volume of, cylinder, , =1™x12x 12x20, , 1, , Volume of cone = 3 1x4x4x5, , No. ofcones= = ¢@x12x12x20, , I :, ~H#xX9OxX4xS, , 3, +=12x3x3=108

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Question 3., , A sector of central angle 216° is cut, out from a circle of radius 25, centimetres and is rolled up into a, cone. What are the base radius and, height of the cone? What is its, volume?, , Answer:, , :x=216°, R=25, , a, i, §, 25, , slant height = 25 cm Height, - ass?, , = /625— 225 = J400 = 20, NOME 5 Le x15?x20= 5154 x20, = 15007 cm’ °, = 1500 x 3.14, = 4710 cm’

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Question 4., The base radii of two cones are in the, ratio 3:5 and their heights are in the, ratio 2 : 3. What is the ratio of their, volumes?, Answer:, , 173-5, , h,: h=2:3, , Ratio of the volumes, , eeu? x2: be x5? x3, 3 3, , =F AXIK2:T AISA, , =18:75 =6:25