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
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 !
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
Learn More:
Hemisphere and a cone both have a same diameter these two metal ...
brainly.in/question/14092291
Mensuration , volume and surface area of solid figures - Cube ...
brainly.in/question/16664050