Question

Find the volume of the right circular cone with
(1) radius 6 cm, height 7 cm
(ii) radius 3.5 cm, height 12
please answer my question ​

Answer 1

Given :

⬤ Radius 6cm and Height 7 cm .

⬤ Radius 3.5 cm and Height 12 cm.

To Find :

⬤ Volume of Right Circular Cone .

Solution :

1) Radius 6cm and Height 7 cm .

Formula Used :

$\sf[\:{Volume\:of\:Cone=\dfrac{1}{3}\pi{r}^{2}h}\:]$

Now :

According to the Formula :

⅓πr²h

1/3 × 22/7 × 6 × 6 × 7

264

Therefore , The Volume of the Right Circular Cone is 264 cm² .

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2) Radius 3.5 cm and Height 12 cm.

Formula Used :

$\sf[\:{Volume\:of\:Cone=\dfrac{1}{3}\pi{r}^{2}h}\:]$

Now :

⅓πr²h

1/3 × 22/7 × 3.5 × 3.5 × 12

22 × 5 × 35 × 4/100

15400/100

154

Therefore , The Volume of the Circular Cone is 154 cm² .

Answer 2

Given -

Radius of 1st cone = 6cm

Height of 1st cone = 7cm

Radius of second cone = 3.5cm

Height of 2nd cone = 12cm

To find :-

Volume of 1st and 2nd cone.

Solution -

Volume of right circular cone = 1/3πr²h

Volume of 1st cone - 1/3πr²h

Where,

π = 22/7

r = Radius

h = height

Substituting the values -

volume of cone = 1/3πr²h

Volume of cone = 1/3 × 22/7 × 6 × 6 × 12

Volume of cone = 22 × 2 × 2

Volume of cone = 176cm³

Volume of 2nd cone = 1/3πr²h

volume of cone = 1/3 × 22/7 × 3.5 × 3.5 × 12

Volume of cone = 22 × 0.5 × 0.5 × 4

Volume of cone = 22cm³

∴ The volume of 1st cone is 176cm³ And volume of 2nd cone is 22cm³