Question

find the volume of cone whose base radius is 3.5cm and hight 12cm​

Answer 1

Answer:

Given :-

• A cone whose base radius is 3.5 cm and height 12 cm.

To Find :-

• What is the volume of cone.

Formula Used :-

$\clubsuit$ Volume Of Cone Formula :

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

where,

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

Solution :-

Given :

• Radius = 3.5 cm
• Height = 12 cm

According to the question by using the formula we get,

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times (3.5)^2 \times 12$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times (3.5 \times 3.5) \times 12$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 12.25 \times 12$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 147$

$\implies \sf Volume_{(Cone)} =\: \dfrac{\cancel{3234}}{\cancel{21}}$

$\implies \sf\bold{\red{Volume_{(Cone)} =\: 154\: cm^3}}$

$\therefore$ The volume of cone is 154 cm³ .