The diameter of a cylinder is 28cm and its height is 40cm. Find the cu

1.	The diameter of a cylinder is 28cm and its height is 40cm. Find the curved surface area, total surface area and the volume of the cylinder.
Answer» It is given that Diameter of a cylinder = 28cm We know that radius = diameter/2 = 28/2 = 14cm Height of a cylinder = 40cm We know that Curved surface area = 2 πrh By substituting the values Curved surface area = 2 × (22/7) × 14 × 40 So we get Curved surface area = 3520 cm² We know that Total surface area = 2 πrh + 2 πr² By substituting the values Total surface area = (2 × (22/7) × 14 × 40) + (2 × (22/7) × 14²) On further calculation Total surface area = 3520 + 1232 = 4752 cm² We know that Volume of cylinder = πr²h By substituting the values Volume of cylinder = (22/7) × 14² × 40 So we get Volume of cylinder = 24640 cm³ Therefore, the curved surface area, total surface area and the volume of cylinder are 3520 cm², 4752 cm² and 24640cm³.

The diameter of a cylinder is 28cm and its height is 40cm. Find the curved surface area, total surface area and the volume of the cylinder.

Answer»

It is given that

Diameter of a cylinder = 28cm

We know that radius = diameter/2 = 28/2 = 14cm

Height of a cylinder = 40cm

We know that

Curved surface area = 2 πrh

By substituting the values

Curved surface area = 2 × (22/7) × 14 × 40

So we get

Curved surface area = 3520 cm²

We know that

Total surface area = 2 πrh + 2 πr²

By substituting the values

Total surface area = (2 × (22/7) × 14 × 40) + (2 × (22/7) × 14²)

On further calculation

Total surface area = 3520 + 1232 = 4752 cm²

We know that

Volume of cylinder = πr²h

By substituting the values

Volume of cylinder = (22/7) × 14² × 40

So we get

Volume of cylinder = 24640 cm³

Therefore, the curved surface area, total surface area and the volume of cylinder are 3520 cm², 4752 cm² and 24640cm³.