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Find the volume of the right circular cone with: (i) Radius 6 cm, height 7 cm (ii) Radius 3.5 cm, height 12 cm (iii) Height is 21 cm and slant height 28 cm |
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Answer» (i) Radius of cone(r) = 6 cm Height of cone(h) = 7 cm We know, Volume of a right circular cone = \(\frac{1}{3}\)πr2h = \(\frac{1}{3}\) x 3.14 x 62 x 7 = 264 Volume of a right circular cone is 264 cm3 (ii) Radius of cone(r) = 3.5 cm Height of cone(h) = 12 cm Volume of a right circular cone = \(\frac{1}{3}\)πr2h = \(\frac{1}{3}\) x 3.14 x 3.52 x 12 = 154 Volume of a right circular cone is 154 cm3 (iii) Height of cone(h) = 21 cm Slant height of cone(l) = 28 cm We know, l2 = r2 + h2 282 = r2 + 212 or r = 7√7 Now, Volume of a right circular cone = \(\frac{1}{3}\)πr2h = \(\frac{1}{3}\) x 3.14 x (7√7)2 x 21 = 7546 Volume of a right circular cone is 7546 cm3 |
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