Math, asked by annanyathapa, 3 months ago

the volume of a right circular cylinder with base radius r and height 3 units is 3 pie r square, then find the volume of right circular cone with same base radius r and height 3cm​

Answers

Answered by GeniusYH
3

Hello Annanya !

Answer:

πr²

Step-by-step explanation:

Given :

Base Radius of a Right Circular Cylinder = r units.

Height of a Right Circular Cylinder = 3 units.

Volume of a Right Circular Cylinder = 3πr² units³

Base Radius of a Right Circular Cone = r units

Height of a Right Circular Cone = 3 units

Formulae :

Volume of a Right Circular Cylinder = πr²h

Volume of a Right Circular Cone = (1/3)πr²h

  • Where r is the base radius of the Cylinder and Cone respectively.
  • Where h is the height of the Cylinder and Cone respectively.

Procedure :

As the Base Radius of the Cylinder is equal to the Base Radius of the Cone.

Volume of Cylinder  = 3 × Volume of Cone

⇒ Volume of Cone = Volume of Cylinder / 3

⇒ Volume of Cone = 3πr² / 3

∴ Volume of Cone = πr²

Thanks !

Answered by amitnrw
0

Given : the volume of a right circular cylinder with base radius r and height 3 units is 3 pie r square,  

To Find :  find the volume of right circular cone with same base radius r and height 3cm

Solution:

Volume of cylinder = π(radius)²Height

Volume of Cone = (1/3) π(radius)²Height

Volume of Cone = (1/3) Volume of cylinder for same base radius and height

volume of a right circular cylinder  = πr²(3)  = 3πr²  cubic units

volume of right circular cone (1/3) πr²(3) = πr²  cm³

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