Question

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Answer 1

Step-by-step explanation:

Given :

Radius of cone = 3.5 cm

Height of cone = 9 cm

To Find :

The volume of cone

Solution :

Volume of cone is given by ,

\begin{gathered} \\ \large\star \:{\boxed{\purple{\sf{Volume_{(cone)} = \frac{1}{3}\pi {r}^{2} h }}}} \\ \\ \end{gathered}

⋆

Volume

(cone)

=

3

1

πr

2

h

Here ,

r is Radius of cone

h is height of cone

Substituting the values we have in the formula ,

\begin{gathered} \\ : \implies \sf \: Volume_{(cone)} = \frac{1}{3} \times \frac{22}{7} \times {(3.5)}^{2} \times 9 \\ \\ \end{gathered}

:⟹Volume

(cone)

=

3

1

×

7

22

×(3.5)

2

×9

\begin{gathered} \\ : \implies \sf \: Volume_{(cone)} = \frac{1 \times 22 \times 12.25 \times 9}{3 \times 7} \\ \\ \end{gathered}

:⟹Volume

(cone)

=

3×7

1×22×12.25×9

\begin{gathered} \\ : \implies \sf \: Volume_{(cone)} = \frac{2425.5}{21} \\ \\ \end{gathered}

:⟹Volume

(cone)

=

21

2425.5

\begin{gathered} \\ : \implies{\underline{\boxed{\pink {\mathfrak{Volume_{(cone)} = 115.5 \: {cm}^{3} }}}}} \: \bigstar \\ \\ \end{gathered}

:⟹

Volume

(cone)

=115.5cm

3

★

\begin{gathered} \\ \therefore{\underline{\sf{Hence \: , \: The \: volume \: of \: the \: given \: cone \: is \: \bold{115.5 cm^3}}}}\end{gathered}

∴

Hence,Thevolumeofthegivenconeis115.5cm

3