Question

find the surface area of a cylinder with a height of 40 inches and a base diameter of 12 inches

Answer 1

Given :

• Height of Cylinder = 40inch
• Diameter of Cylinder = 12inch

To Find :

• Total Surface Area of Cylinder

Solution :

Radius of the Cylinder :

⠀⟶⠀Diameter = 2 × Radius

⠀⟶⠀12 = 2 × Radius

⠀⟶⠀12/2 = Radius

⠀⟶⠀6 inch = Radius

Total Surface Area of Cylinder :

⠀⟶⠀TSA of Cylinder = 2πr (h + r)

⠀⟶⠀TSA of Cylinder = 2π × 6 (40 + 6)

⠀⟶⠀TSA of Cylinder = 2π × 6 × 46

⠀⟶⠀TSA of Cylinder = 2π × 276

⠀⟶⠀TSA of Cylinder = 2 × 22/7 × 276

⠀⟶⠀TSA of Cylinder = 44/7 × 276

⠀⟶⠀TSA of Cylinder = 44 × 276/7

⠀⟶⠀TSA of Cylinder = 12144/7

⠀⟶⠀TSA of Cylinder = 1734.85inches

∴ TSA of Cylinder is 1734.85inches

___________________

★ Additional Info :

• Volume of Cylinder = πr²h
• CSA of Cylinder = 2πrh
• TSA of Cylinder = 2πr (h + r)
• Area of Top of Cylinder = πr²
• Area of Base of Cylinder = πr²

___________________

Answer 2

Given :

Height of Cylinder = 40inch

Diameter of Cylinder = 12inch

To Find :

Total Surface Area of Cylinder

Solution :

Radius of the Cylinder :

⠀⟶⠀Diameter = 2 × Radius

⠀⟶⠀12 = 2 × Radius

⠀⟶⠀12/2 = Radius

⠀⟶⠀6 inch = Radius

Total Surface Area of Cylinder :

⠀⟶⠀TSA of Cylinder = 2πr (h + r)

⠀⟶⠀TSA of Cylinder = 2π × 6 (40 + 6)

⠀⟶⠀TSA of Cylinder = 2π × 6 × 46

⠀⟶⠀TSA of Cylinder = 2π × 276

⠀⟶⠀TSA of Cylinder = 2 × 22/7 × 276

⠀⟶⠀TSA of Cylinder = 44/7 × 276

⠀⟶⠀TSA of Cylinder = 44 × 276/7

⠀⟶⠀TSA of Cylinder = 12144/7

⠀⟶⠀TSA of Cylinder = 1734.85inches

∴ TSA of Cylinder is 1734.85inches

___________________

★ Additional Info :

Volume of Cylinder = πr²h

CSA of Cylinder = 2πrh

TSA of Cylinder = 2πr (h + r)

Area of Top of Cylinder = πr²

Area of Base of Cylinder = πr²

__________________

Hope it will helps you ❤️