Question

The height and radius of a cone are 14 cm and 6 cm respectively. find the volume ofthe cone.​

Answer 1

Answer:

h=14 cm ,. r= 6cm

volume of the cone =$\frac{1}{3}$ πr²h

=$\frac{1}{3}$× $\frac{22}{7}$ ×(6)² × 14

=528 cm³

Step-by-step explanation:

hope it helps ☺️.....

Answer 2

AnswEr:

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$\bf GivEn\begin{cases} & \sf{Height\;of\;cone = \bf{14\;cm}} \\ & \sf{Radius\;of\;cone = \bf{6\;cm}} \end{cases}$

We have to find, Volume of cone.

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$\star\;{\underline{\frak{We\;know\;that,}}}$

$\star\;{\boxed{\sf{\purple{Volume_{\;(cone)} = \dfrac{1}{3} \pi r^2 h}}}}$

$\star\;{\underline{\frak{Putting\;values,}}}$

$:\implies\sf \dfrac{1}{ \cancel{3}} \times \dfrac{22}{ \cancel{7}} \times \cancel{6} \times 6 \times \cancel{14}$

$:\implies\sf 22 \times 2 \times 6 \times 2$

$:\implies\sf 44 \times 12$

$:\implies{\boxed{\frak{\pink{528\;cm^3}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;Volume\;of\;cone\;is\; \bf{528\;cm^3}.}}}$

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$\qquad\qquad\quad\boxed{\bf{\mid{\overline{\underline{\red{\bigstar\: More\:to\:know :}}}}}\mid}$

$\;\;\;\bullet\;\;\sf CSA\;of\;cone = \pi rl$

$\;\;\;\bullet\;\;\sf TSA\;of\;cone = \pi r(l + r)$

$\;\;\;\bullet\;\;\sf CSA\;of\; cylinder = 2 \pi rh$

$\;\;\;\bullet\;\;\sf TSA\;of\; cylinder = 2 \pi r(h + r)$

$\;\;\;\bullet\;\;\sf Volume\;of\; cylinder = \pi r^2 h$