Question

find the volume of the right circular cone with (i) radius 6cm , height 7 cm​

Answer 1

i think the volume is41.

Answer 2

Answer:

Given :-

• A right circular cone whose radius is 6 cm and height is 7 cm.

To Find :-

• What is the volume of the right circular 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 = 6 cm
• Height = 7 cm

According to the question by using the formula we get,

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

$\implies \sf Volume_{(Cone)} =\: \dfrac{1}{3} \times \dfrac{22}{7} \times (6)^2 \times 7$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times (6 \times 6) \times 7$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 36 \times 7$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22}{21} \times 252$

$\implies \sf Volume_{(Cone)} =\: \dfrac{22 \times 252}{21}$

$\implies \sf Volume_{(Cone)} =\: \dfrac{\cancel{5544}}{\cancel{21}}$

$\implies \sf\bold{\red{Volume_{(Cone)} =\: 264\: cm^3}}$

$\therefore$ The volume of the right circular cone is 264 cm³ .