Question

(1)Find the volume of the right circular cone with:-(i)radius 6 cm, height is 7 cm (ii)radius 3.5 cm, height 12 cm​

Answer 1

ANSWER

154cm³

SOLUTION

Volume of a cone of base radius r, and height h, = 1/3πr²h

i) Radius of the cone, r = 6 cm

Height of the cone, h = 7 cm

Volume of the cone = 1/3πr²h

= 1/3 × 22/7 × 6 cm × 6 cm × 7 cm

= 264 cm³

ii) Radius of the cone, r = 3.5 cm

Height of the cone, h = 12 cm

Volume of the cone = 1/3πr²h

= 1/3 × 22/7 × 3.5 cm × 3.5 cm × 12 cm

= 154 cm³

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Answer 2

Answer:

Given :-

(i) Radius 6 cm, height 7 cm

(ii) Radius 3.5 cm, height 22 cm

To Find :-

• What is the volume of a 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 :-

✫ (i) Radius 6 cm, height 7 cm :

Given :

• Radius = 6 cm
• Height = 7 cm

According to the question by using the formula we get,

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

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

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

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

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

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

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✯ (ii) Radius 3.5 cm, height 12 cm :

Given :

• Radius = 3.5 cm
• Height = 12 cm

According to the question by using the formula we get,

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

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

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

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

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

$\therefore$ The volume of the right circular cone is 154 cm³ .