Question

A cylinder is of diameter 42cm and height 152cm. Find the volume of the cylinder and also find the surface area of the cylinder

Answer 1

Given :

• Diameter of a cylinder = 42 cm
• Height of the cylinder = 152 cm

To find :

• Volume of the cylinder
• Surface area of the cylinder

Concept :

Formula to calculate radius of the cylinder :-

• Radius = Diameter ÷ 2

Formula to calculate volume of cylinder :-

• Volume of cylinder = πr²h

Formula to calculate surface area of cylinder :-

• Surface area of cylinder = 2πr(h + r)

Solution :

Firstly, calculate the radius of cylinder :-

Radius of the cylinder :-

Using formula,

★ Radius = Diameter ÷ 2

Substituting the given values,

→ Radius = 42 ÷ 2

→ Radius = 21

Radius of the cylinder = 21 cm

Volume of cylinder :-

Using formula,

★ Volume of cylinder = πr²h

Substituting the given values,

→ Volume = 22/7 × (21)² × 152

→ Volume = 22/7 × 21 × 21 × 152

→ Volume = 22 × 3 × 21 × 152

→ Volume = 210,672

Volume of the cylinder = 210,672 cm³

Surface area of cylinder :-

Using formula,

★ Surface area of cylinder = 2πr(h + r)

Substituting the given values,

→ Surface area = 2 × 22/7 × 21(152 + 21)

→ Surface area = 2 × 22 × 3(173)

→ Surface area = 22,836

Surface area of cylinder = 22,836 cm²

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Know More :

• Diameter = 2 × Radius
• Surface area of sphere = 4πr²
• Volume of cone = 1/3 πr²h
• Curved surface area of cone = πrl
• Total surface area of cone = πrl + πr²h
• Total surface area of cylinder = 2πrh + 2πr²
• Area of circle = πr²
• Circumference = 2πr

Answer 2

Answer:

Diameter of cylinder = 42cm

Radius of cylinder = D÷2 = 42÷2 = 21

Height of cylinder = 152cm

Volume of cylinder = πr2 h

If using this step you will find the volume and In case of surface area there is a formula 2πr( r+h) then you will find the surface area