The diameter of the base of a cone is 42 cm and its volume is 12936 cm3. Its height is

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KollegeApply · Accepted Answer

28 cm Let h be the height of the cone. Diameter of the cone = 42 cm Radius of the cone = 21 cm Then, volume of the cone= $\frac{1}{3}$ pi"r"^2"h" = $\frac{1}{3}$xx22/7xx21xx21xx"h" = 22 $\times$ 21 $\times$ h Therefore, 22 $\times$ 21 $\times$ h = 12936 => h = ((12936)/(22xx21)) $\Rightarrow$ h = 28 cm Hence, the height of the cone is 28 cm.

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