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Find the volume, curved surface area and the total surface area of a cone having base radius 35cm and height 12cm. |
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Answer» It is given that Radius of the cone = 35cm Height of the cone = 12cm We know that Volume of the cone = 1/3 πr2h By substituting the values Volume of the cone = 1/3 × (22/7) × 352 × 12 On further calculation Volume of the cone = 15400 cm3 We know that Slant height l = √(r2 + h2) By substituting the values l = √ (352 + 122) On further calculation l = √ 1369 So we get l = 37 cm We know that Curved surface area of a cone = πrl By substituting the values Curved surface area of a cone = (22/7) × 35 × 37 So we get Curved surface area of a cone = 4070 cm2 We know that Total surface area of cone = πr (l + r) By substituting the values Total surface area of cone = (22/7) × 35 × (37 + 35) On further calculation Total surface area of cone = 22 × 5 × 72 So we get Total surface area of cone = 7920 cm2 |
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