Question

Find Volume of a cone radius 33cm and height 40cm.

Answer 1

Answer:

Given :-

• A cone whose radius is 33 cm and height is 40 cm.

To Find :-

• What is the volume of a 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 = 33 cm
• Height = 40 cm

According to the question by using the formula we get,

$\implies \bf Volume_{(Cone)} =\: \dfrac{1}{3}{\pi}r^2h$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times (33)^2 \times 40$

$\implies \sf Volume_{(Cone)} =\: \dfrac{1 \times 22}{3 \times 7} \times (33 \times 33) \times 40$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 1089 \times 40$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 43560$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22 \times 43560}{21}$

$\implies \sf Volume_{(Cone)} =\: \dfrac{958320}{21}$

$\implies \sf\bold{\red{Volume_{(Cone)} =\: 45634.28\: cm^3}}$

$\sf\bold{\purple{\underline{\therefore\: The\: volume\: of\: a\: cone\: is\: 45634.28\: cm^3\: .}}}$