Question

The curved surface area of a right circular cylinder is 6600 square cm and circumference of base is 55 cm . Find the volume of cylinder​

Answer 1

Answer:

according to question

2πr =55

and 2πrh=6600

so now

=55×h=6600. (if 2πr=55)

= h= 6600/55

h= 120 cm

Step-by-step explanation:

volume of cylinder is

solve this?

Answer 2

Given :

• The curved surface area of a right circular cylinder = 6600 cm²
• Circumference of base = 55 cm.

To Find :

• The volume of cylinder.

Solution :

________________________

Case : 1

• Finding the radius of cylinder

Using Formula : Circumference of base = 2πr

$\longrightarrow$ 55 = 2 × 3.14 × r

$\longrightarrow$ (55 / (2 × 3.14) = r

$\longrightarrow$ 8.75 = r

• With this we get, r = 8.75 cm.

________________________

Case : 2

• Finding the height of cylinder

Using Formula : CSA of cylinder = 2πrh

$\longrightarrow$ 6600 = 55 × h $\big[\scriptsize{\sf{\red{Given : 2\pi r = 55}}}\big]$

$\longrightarrow$ h = 6600/55

$\longrightarrow$ h = 120

• With this we get, h = 120 cm.

________________________

Now We have,

• r = 8.75 cm
• h = 120 cm

Using Formula : Volume of cylinder = πr²h

$\longrightarrow$ 3.14 × (8.75)² × 120

$\longrightarrow$ 3.14 × 67.56 × 120

$\longrightarrow$ 25456.60

Hence, the volume of the cylinder is 25456.60 cm³.