Math, asked by rudraksh195, 10 months ago

Find the volume of a cone if it's radius of base is 4.5cm and it's perpendicular height is 14cm.

Answers

Answered by Anonymous
2

Given :

  • Radius of base = 4.5 cm
  • Height of cone = 14 cm

To Find :

  • Volume of the cone

Solution

Formula to find volume of cone is

 \Large \boxed{\bf Volume_{cone} =  \frac{1}{3} \pi {r}^{2} h} \\  \\ \implies \bf  \frac{1}{3}  \times  \frac{22}{7}  \times  {(4.5)}^{2}  \times 14 \\  \\\bf  \implies  \frac{1}{ \cancel3}  \times \frac{22}{ \cancel7}  \times  \cancel{20.25} \times  \cancel{14} \\  \\  \bf \implies22 \times 6.75 \times 2 \\  \\  \bf \implies 44 \times 6.75 \\\\ \bf \implies297 \\  \\   \Large \underline {\bf volume \: of \: cone \: is \: 297 \:  {cm}^{3} }

Answered by sethrollins13
1

✯✯ QUESTION ✯✯

Find the volume of a cone if it's radius of base is 4.5cm and it's perpendicular height is 14cm.

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✰✰ ANSWER ✰✰

⇢\textbf{Radius=4.5cm}

⇢\textbf{Height=14cm}

\large{\boxed{\bold{\bold{\red{\sf{Volume\:of\:Cone=\dfrac{1}{3}{πr}^{2}h}}}}}}

Putting Values : -

⇢\dfrac{1}{3}×\dfrac{22}{7}×4.5×4.5×14

⇢22×6.75×2

\large{\boxed{\boxed{\bold{\green{\sf{Volume\:of\:Cone={297cm}^{2}}}}}}}

_______________________

  • C.S.A of Cone= πrl

  • T.S.A of Cone=πrl+πr²
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