Question

If the circumference of the base of right circular come is 2.2 m. and height is 45 dcm., then let us write by calculating, the volume of it.​

Answer 1

Required Answer :

The volume of cone = 0.5775 m³

Given :

• Circumference of the base of right circular cone = 2.2 m

• Height of the cone = 45 dcm

To find :

• Volume of the cone

How to do?

Firstly, we will convert the height of the cone from dcm into cm. And thewe will calculate the radius of the cone by using the formula of circumference of the cone. And then by using the formula of volume of cone we will get our required answer $.$

Formula of circumference of cone :

• Circumference = 2πr

Formula of volume of cone :

• Volume of cone = 1/3 πr²h

where,

• Take π = 22/7
• r denotes the radius
• h denotes the height

Solution :

As we know,

• 1 dcm = 10 m

To convert the value from dcm into m, divide the value by 10.

⇒ Height = 45/10

⇒ Height = 4.5 m

Calculating the radius of the cone :

⇒ Circumference = 2πr

⇒ Substituting the given values :

⇒ 2.2 = 2 × 22/7 × r

⇒ 22/10 = 44/7 × r

⇒ 22/10 × 7/44 = r

⇒ 11/10 × 7/22 = r

⇒ 1/10 × 7/2

⇒ 7/20 = r

⇒ 0.35 = r

Radius of the cone = 0.35 m

Calculating the volume of the cone :

⇒ Volume = 1/3 πr²h

⇒ Substituting the given values :

⇒ Volume = 1/3 × 22/7 × (0.35)² × 4.5

⇒ Volume = 1/3 × 22/7 × 35/100 × 35/100 × 45/10

⇒ Volume = 0.5775

Therefore, the volume of cone = 0.5775 m³