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Surface area of a cone is 188.4 sq.cm and its slant height is 10cm. Find its volume ( pha= 3.14) |
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Answer» ong>Answer: V of cone = 271.296 cm^3 Step-by-step explanation: CSA of cone = PI × r × l 188.4 = 3.14 × r × 10 188.4 = r × 31.4 r = 188.4 ÷ 31.4 Here, point will get cancelled. r = 1884 ÷ 314 r = 6 cm Since, l^2 = r^2 + h^2 Therefore, h^2 = l^2 - r^2 => h^2 = 10^2 - 6^2 => h^2 = 100 - 36 => h = ROOT 64 => h = 8 cm So, V of cone = 1/3 × pi × r^2 × h = 1/3 × 3.14 × 6^2 × 8 = 0.3 × 3.14 × 36 × 8 = 0.942 × 288 => V of cone = 271.296 cm^3 |
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