Question

The diameter of the cone is 42cm and its volume is 12936.Find the height​

Answer 1

The diameter of the base of a cone is 42 cm and its volume is 12936 cm3 Its height is. Solution : 13πr2h=12936⇒13×227×21×21×h=12936⇒h=(1293622×21)cm=28cm.

Answer 2

★ Question:-

The diameter of the cone is 42cm and its volume is 12936.Find the height.

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⠀

$\frak{Given}\begin{cases}\sf{\;\;\; diameter\; of \; cone = \bf{42\;cm}}\\\sf{\;\;\;volume\:of\; cone = \bf{12936\;cm {3}^{} }}\end{cases}</p><p>$

$\: \: \:$

★ To Find :-

Height of cone

Let , h be the height of cone

$\star\;\boxed{\sf{\pink{volume\; of \: _{\;(cone)} \implies \: v = \dfrac{1}{3} \pi r^2h}}}</p><p>$

⠀

$\implies \: v = \dfrac{1}{3} \times \dfrac{22}{7} \times { 21} \times 21\times h$

$\implies \: 22\times21\times h$

Therefore,

$22\times21\times h = 12936$

$\implies \: h = \dfrac{12936}{22 \: \:\times21}$

$\implies \: h = 28 \: cm$

${\red{\bf{height \: of \: the \: cone \: is \: 28 \: cm}}}$