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Mathematics

Find the volume of a cone given that its height is 8 cm and the area of base 156 cm2.

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Answer

Height of cone = 8 cm.

Area of base = 156 cm2.

Volume of cone (V) = 13×\dfrac{1}{3} \times Area of base × Height

Putting values we get,

V=13×156×8=12483=416 cm3.V = \dfrac{1}{3} \times 156 \times 8 \\[1em] = \dfrac{1248}{3} \\[1em] = 416 \text{ cm}^3.

Hence, the volume of cone = 416 cm3.

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