Question

the radius and height of a right circular cone are 6cm and 7cm then it's volume of the cone is​

Answer 1

Answer:

$264 {cm}^{3}$

Step-by-step explanation:

Volume of a cone =

$\frac{1}{3} \pi \: {r}^{2} h$

=

$\frac{1}{3} \times \frac{22}{7} \times {6}^{2} \times 7$

$= 22 \times 12$

$= 264 {cm}^{3}$

Answer 2

Answer :

➥ The volume of a right circular cone = 264 cm³

Given :

➤ Radius of a right circular cone (r) = 6 cm

➤ Height of a right circular cone (h) = 7 cm

To Find :

➤ Volume of a right circular cone = ?

Solution :

As we know that

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

$\tt{: \implies Volume_{(cone)} = \dfrac{1}{ \cancel{3}} \times \dfrac{22}{ \cancel {7}} \times \cancel{6}\times 6 \times \cancel{7}}$

$\tt{: \implies Volume_{(cone)} = 1 \times 22 \times 2 \times 6}$

$\tt{: \implies Volume_{(cone)} = 22 \times 2 \times 6}$

$\tt{: \implies Volume_{(cone)} = 44 \times 6}$

$\bf{: \implies \underline{\:\:\underline{\purple{\:\:Volume_{(cone)} = 264 \: {cm}^{3} \:\:}}\:\:}}$

Hence, the volume of a right circular cone is 264 cm³.

$\:\:\:\:\:\:\:\:\:$

Some releted formulae :

⪼ Curved Surface area of Cone = πrl

⪼ Total Surface Area of Cone = πr(l+r)

⪼ Volume of Cone = ⅓πr²h