Question

find the volume of right circular cone with the radius 6cm and height is 7cm​

Answer 1

$\large\underline\pink{Given:-}$

• Radius of circular cone = 6 cm.
• Height of circular cone = 7 cm.

$\large\underline\pink{To find:-}$

• Fine the volume of the circular cone ....?

$\large\underline\pink{Solutions:-}$

$\: \: \: \: \: Volume \: \: of \: \: cone \: \: = \: \: \frac{1}{3} \: \pi \: {r}^{2} \: h$

$\: \: \: \: \: \leadsto \: \: \frac{1}{3} \: \times \: \frac{22}{7} \: \times \: {(6)}^{2} \: \times \: {7}$

$\: \: \: \: \: \leadsto \: \: \frac{1}{\cancel{3}} \: \times \: \frac{22}{\cancel{7}} \: \times \: {\cancel{36}} \: \times \: \cancel{7}$

$\: \: \: \: \: \leadsto \: \: {22} \: \times \: {12}$

$\: \: \: \: \: \leadsto \: \: {264}$

Hence, volume of the circular cone is 264 cm³

$\large\underline\pink{More \: \: Information:-}$

Right circular cone:-

• h = height of cone
• r = Radius of cone
• s = slant height

1. Volume = 1/3πr²h
2. Lateral surface area = πr √r²+h²
3. Total surface area = πr² + πr √r²+h²

Answer 2

Given:-

• radius of cone = 6cm
• Height of cone = 7 cm.

To find:-

• Volume of the cone.

Solution:-

$volume \: of \: cone \: = \frac{1}{3} \pi {r}^{2} h$

$volume \: of \: cone \: = \frac{1}{3} \times \frac{22}{7} \times {6}^{2} \times 7$

$volume \: of \: cone \: = \frac{1}{3} \times 22 \times 36$

$volume \: of \: cone \: = \frac{1}{3} \times 729$

$volume \: of \: cone \: = 264 {cm}^{3}$

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