Question

1- the curved surface area of a cylinder is 4400cm2 and the circumference of it's base is 110cm. find the height and the volume of the cylinder
please Urgent ​

Answer 1

Given :-

• The C.S.A of Cylinder = 4400cm²
• Circumference of base = 110cm

To Find :-

• The volume of Cylinder = ?
• The height of Cylinder = ?

Solution :-

• To calculate the volume and height of cylinder at first we have to find the radius of Cylinder with the help of circumference of its base. Then calculate volume and height of cylinder by applying formula.

Formula Used :-

• Circumference = 2 × π × r
• C.S.A = 2 × π × r × h

⇢ Circumference of its base = 110cm

⇢ 2 × 22/7 × Radius = 110

⇢ 44 × Radius/7 = 110

⇢ 44 × Radius = 110 × 7

⇢ 2 × Radius = 5 × 7

⇢ Radius = 35/2 cm

• Now calculate height of cylinder :-

⇢ C.S.A of Cylinder = 2 × π × r × Height

⇢ 2 × 22/7 × 35/2 × Height = 4400

⇢ 22 × 5 × Height = 4400

⇢ 5 × Height = 200

⇢ Height = 40cm

• Now calculate volume of Cylinder :-

⇢ Volume of Cylinder = π × r² × h

⇢ Volume = 22/7 × 35/2 × 35/2 × 40

⇢ Volume = 11 × 5 × 35 × 20

⇢ Volume = 55 × 700

⇢ Volume = 38500 cm³

Hence,

• The volume of Cylinder = 38500 cm³
• The height of cylinder = 40cm

Answer 2

Given :-

The curved surface area of a cylinder is 4400 cm² and the circumference of its base is 110 cm

To Find :-

Height & Volume

Solution :-

We know that

Circumference = 2πr

Let the radius be r cm

110 = 2 × 22/7 × r

110 = 44/7 × r

110 × 7/44 = r

10 × 7/4 = r

17.5 = r

Now

CSA = 2πrh

4400 = 2 × 22/7 × 17.5 × h

4400 = 770/7 × h

4400 = 110 × h

4400/110 = h

440/11 = h

40 = h

Now

Volume = πr²h

Volume = 22/7 × (17.5)² × 40

Volume = 22/7 × 306.25 × 40

Volume = 2,69,500/7

Volume = 38,500 cm³