Question
If the diameter of the base of a cone is 70 cm and its
curved surface area is 4070 cm², then what will be its volume (in cm³)? (use π = 22/7)Solution
Curved surface area = 1395 cm² πrl = (4070) (22/7) x 35 x 1 = 4070 1= (4070 × 7)/ (35 x 22) l= 814/22 1 =37 h2 = 12-r2 h = (37)2 - (35)2 h=√1369-1225 h = √144 h = 12 cm Volume of cone = (1/3) x π x r² x h = (1/3) x (22/7) × (35)2 x 12 =22×175×4 cm³ =15400
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