Question

The curved surface area of a cylinder whose circumference of the base is 22 cm and height 3 metre is

Answer 1

Given:

• Circumference of the base = 22 cm

• Height of cylinder = 3 m = 3 × 100 cm = 300 cm

To find out:

Find the Curved surface area of a cylinder?

Formula used:

• Circumference = 2πr

• Curved surface area of cylinder = 2πrh

Solution:

Circumference of base = 22cm

⇒ 2 π r = 22

⇒ 2 × 22/7 × r = 22

⇒ r = 22 × 7 / 2 × 22

⇒ r = 22 × 7 / 44

⇒ r = 7 / 2

Now,

Curved surface area = 2 π r h

⇒ 2 × 22 / 7 × 7 / 2 × 300

⇒ 44/7 × 7/2 × 300

⇒ 22 × 300

⇒ 6600 cm²

Hence, the Curved surface area of given cylinder is 6600 cm²m

Additional information:

• Volume of cone = ⅓ × π × r² × h

• Curved surface area of cone = π × r × l

• Total surface area of cone = π × r ( r + l )

Answer 2

$\large\underline\mathrm{Given:-}$

• Circumference of the base = 22 cm

• Height of the cylinder = 3m

= 3 × 100cm

= 300cm

$\large\underline\mathrm{To \: find}$

Find the curved surface area of a cylinder?

$\large\underline\mathrm{Solution}$

circumference of the base = 22 cm

$\implies$ 2πr = 22

$\implies$ 2 × 22/7 × r = 22

$\implies$ r = (22 × 7)/(2 × 22)

$\implies$ r = 7/2

Curved surface area = 2πrh

$\implies$ 2 × 22/7 × 300

$\implies$ 44/7 × 7/2 × 300

$\implies$ 22 × 300

$\implies$ 6600cm²