Question

the volume of a cylinder is 3080 cm3 and the height is 20 cm.Find the area of xurved surface.(plz do step by step)​

Answer 1

Answer :-

The curved surface area of cylinder 880cm².

Step-by-step explanation

To Find :-

• The curved surface area of cylinder.

★ Solution

Given that,

The volume of Cylinder = 3080cm³

The height of cylinder = 20cm.

As the radius of cylinder is not given, So, we need to find out.

As we know that,

Volume of cylinder = πr²h cubic units,

Where,

r = Radius

h = height.

→ πr²h = Volume

→ 22/7 × (r)² × 20 = 3080

→ 22 × (r)² × 20 = 3080 × 7

→ 440 × (r)² = 21560

→ r² = 21560/440

→ r² = 2156/44

→ r² = 49

→ r = √49

→ r = 7cm.

Hence, The radius of cylinder is 7cm.

Now, According the question,

• The curved surface area of cylinder :-

As we know that,

Curved surface area of Cylinder = 2πrh sq. units,

Where,

r = Radius

h = height.

Therefore,

→ 2πrh

→ 2 × 22/7 × 7 × 20

→ 44/7 × 7 × 20

→ 44 × 20

→ 880cm² = curved surface area.

Hence. The required number is 880cm².

Answer 2

Answer:

$\underline{\purple{\ddot{\Mathsdude}}}$

●To prove :-

• Curved surface area

●Correct question :-

1. If the volume of cylinder is 3080cm^3 and base of radius is 7cm .Find curved surface area of cylinder .

●Explanation :-

• Let the height be x

• volume of cylinder =3080cm

• R=7cm

▪Volume of cylinder= 3080cm^3

• pi r^2h =3080

• 3.14×7×7×h = 3080

• 154×h =3080

• h =3080/154

• h =20cm.

◇Now ,

Curved surface area of cylinder = 2 pi r h

• 2×22/7×7×20

• 2×20×22

• 880cm^2.

Hence ,

The required number is 880cm^2

♧♧Hope it helps u mate .