Question

find the curved surface area, the total surface area and volume of cylinder, the diameter of whose base is 7 cm and height being 60 cm. Also, find the capacity of the cylinder in litres​

Answer 1

GiveN:-

• Height of the cylinder = 60 cm
• Diameter = 7 cm

To FinD:-

• Curved surface area
• Total surface area
• Volume of cylinder0m

Solution:-

• Radius = diameter/2 = 7/2 cm

Curved surface area :

We know that if we are given the the radius and height of the cylinder we have the required formula for curved surface area that is,

Curved Surface Area = 2πrh

where,

• π = 22/7 or 3.14
• r is radius = 7/2 cm
• h is height = 60 cm

Substituting the values in the required formula,

➡ Curved Surface Area = 2πrh

➡ Curved Surface Area = 2 × 22/7 × 7/2 × 60

➡ Curved Surface Area = 2 × 11 × 60

➡ Curved Surface Area = 1320 cm².

______________________________

Total surface area :

We know that if we are given the the radius and height of the cylinder we have the required formula for total surface area that is,

Total Surface Area = 2πr(h + r)

where,

• π = 22/7 or 3.14
• r is radius = 7/2 cm
• h is height = 60 cm

Substituting the values in the required formula,

➡ Total Surface Area = 2πr(h + r)

➡ Total Surface Area = 2 × 22/7 × 7/2( 60 + 7/2)

➡ Total Surface Area = 2 × 11(120 + 7/2)

➡ Total Surface Area = 2 × 11 × 127/2

➡ Total Surface Area = 11 × 127

➡ Total Surface Area = 1397 cm².

_______________________________

Volume of the cylinder :

We know that if we are given the the radius and height of the cylinder we have the required formula for volume of cylinder that is,

Volume of cylinder = πr²h

where,

• π = 22/7 or 3.14
• r is radius = 7/2 cm
• h is height = 60 cm

Substituting the values in the required formula,

➡ Volume of cylinder = πr²h

➡ Volume of cylinder = 22/7 × 7/2 × 7/2 × 60

➡ Volume of cylinder = 11 × 7/2 × 60

➡ Volume of cylinder = 11 × 7 × 30

➡ Volume of cylinder = 2310 cm³

Now the volume in litres :

1 cm³ = 0.001 litre

➡ 2310 cm³ = 2310 × 0.001

➡ 2310 cm³ = 2.31 litres.

The volume in litres is 2.31 litres.

Answer 2

Answer:

Lateral Surface area= 1320 cm²

Volume= 385 cm3

Capacity in litres= 38.5 litres.

Step-by-step explanation:

Given: Diameter of the base = 7cm

so, radius = 7/2 = 3.5cm

Height = 60cm

To find out: curved surface area, volume of the cylinder, and capacity in litres.

Solution: Area= 2.pi.r.h unit²

= 2.22/7.35/10.60

= 1320 cm²

Volume = pi.r².h unit3

= 22/7. 35/10.35/10.60

= 385 cm3

Now, capacity = 385cm = 38.5 dm

= 38.5 litres

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