Area and Volume of a Cylinder A cylinder is a 3D shape formed by joining two circular bases and connecting their curved lateral edges. It has a circular...
A cylinder is a 3D shape formed by joining two circular bases and connecting their curved lateral edges. It has a circular base and a height, both of which are measured in the same units.
Area:
The area of a cylinder is calculated by multiplying the area of the base by the height.
The area of the base is calculated using the formula πr², where r is the radius of the base.
The area of the lateral face is calculated using the formula 2πrh, where r is the radius of the base and h is the height.
Volume:
The volume of a cylinder is calculated by multiplying the area of the base by the height.
The area of the base is calculated using the formula πr², where r is the radius of the base.
The volume of the lateral face is calculated using the formula πrh, where r is the radius of the base and h is the height.
Examples:
A cylinder with a diameter of 5 cm and a height of 10 cm has an area of 78 cm² and a volume of 200 cm³.
A cylinder with a radius of 3 m and a height of 5 m has an area of 94 m² and a volume of 150 m³