Math, asked by vvsbss1052, 2 months ago

find the volume of cone whose radius is4cm and height is. 14cm​

Answers

Answered by Teddy066
1

Answer:

1/3πr²

1/3*22/7*4²

16.5

Step-by-step explanation:

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Answered by StarFighter
11

Answer:

Given :-

  • A cone whose radius is 4 cm and height is 14 cm.

To Find :-

  • What is the volume of cone.

Solution :-

Given :

\mapsto \bf Radius_{(Cone)} =\: 4\: cm

\mapsto \bf Height_{(Cone)} =\: 14\: cm

According to the question by using the formula we get,

\implies \sf\boxed{\bold{Volume_{(Cone)} =\: \dfrac{1}{3}{\pi}r^2h}}\\

where,

  • π = Pie or 22/7
  • r = Radius
  • h = Height

So, by putting those values we get,

\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times (4)^2 \times 14\\

\implies \sf Volume_{(Cone)} =\: \dfrac{1 \times 22}{3 \times 7} \times (4 \times 4) \times 14\\

\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 16 \times 14\\

\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 224\\

\implies \sf Volume_{(Cone)} =\: \dfrac{22 \times 224}{21}\\

\implies \sf Volume_{(Cone)} =\: \dfrac{4928}{21}\\

\implies \sf Volume_{(Cone)} =\: 234.67\\

\implies \sf\bold{\underline{Volume_{(Cone)} =\: 234.67\: cm^3}}\\

\therefore The volume of cone is 234.67 cm³ .

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