Question

the volume of a right circular cone is 9856cm2.if radius of the base is 14cm,find the height of the cone.
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Answer 1

Here's your answer.

Please refer to this attachment.....

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Answer 2

$\bf{\underline{\underline \green{Solution:-}}}$

$\frak\red{AnswEr}\begin{cases}\sf\blue{\underline{The \: height \: of \: the \: cone = 48cm}}\end{cases}$

$\frak\red{Given}\begin{cases}\sf\red{\underline{Volume \: of \: right \:circular \: cone = 9856 cm^3}} \\ \sf\blue{\underline{Radius \: of \: the \: base = 14 cm}}\end{cases}$

$\frak\red{Need\:To\:Find}\begin{cases}\sf\pink{\underline{The \: height \: of \: the \: cone = \:?}}\end{cases}$

$\bf{\underline{\underline \green{ExPlanation:-}}}$

$\underline\mathtt \orange{Formula\:used\:here:-}$

$\bigstar\:\large{\boxed{\sf\pink{Volume \: of \: circular\: cone = \dfrac{1}{3}\pi r^2 h }}}$

$\underline\mathtt \orange{Now, Putting\:the\: values:-}$

$\longrightarrow \sf \green {9856 = \dfrac{1}{3}\times 3.14 \times (14)^2 \times Height}$ $\longrightarrow\sf \pink {9856 = \dfrac{1}{3}\times 3.14 \times 196 \times Height}$ $\longrightarrow\sf \red {9856 = \dfrac{615.44 \times Height}{3}}$ $\longrightarrow\sf \green {9856 = 205.147 \times Height}$ $\longrightarrow\sf\pink{ Height = \dfrac{\cancel{9856}}{\cancel{205.147}} }$

$\longrightarrow\sf \blue {Height = 48\:Cm}$

$\underline\mathtt \orange{ThereFore:}$

• $\small\orange{\underline {\boxed{\sf\green{ The \: height \: of \: the \: cone = 48cm} }}}$

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