Question

find the volume of a cone whose radius is 3.5cm and height is 9cm . please answer this question,,,,,,,,,,,,,, step by step​

Answer 1

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 ,

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

Here ,

• r is Radius of cone
• h is height of cone

Substituting the values we have in the formula ,

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

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

$\\ : \implies \sf \: Volume_{(cone)} = \frac{2425.5}{21}$

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

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

Answer 2

Answer:

Given :-

• A cone whose radius is 3.5 cm and height is 9 cm.

To Find :-

• What is the volume of a cone.

Formula Used :-

To find volume of a cone we know that,

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

where,

• r = Radius
• h = Height

Solution :-

• Radius = 3.5 cm
• Height = 9 cm

According to the question by using the formula we get,

⇒ Volume of cone = $\sf\dfrac{1}{3} \times \dfrac{22}{7} \times {(3.5)}^{2} \times 9$

⇒ Volume of cone = $\sf\dfrac{1}{3} \times \dfrac{22}{7} \times 12.25 \times 9$

⇒ Volume of cone = $\sf\dfrac{1}{3} \times \dfrac{22}{7} \times 110.25$

⇒ Volume of cone = $\sf\dfrac{1}{3} \times 346.5$

➠ Volume of cone = 115.5 cm³

$\therefore$ The volume of cone is 115.5 cm³ .