A rectangular sheet of metal foil with dimension 66 cm x 12 cm is rolled to form a cylinder of height 12 cm. Find the volume of the cylinder.

GIVEN : rectangular sheet of metal foil with dimension :

66 cm x 12cm ie. l × b

Height of the cylinder = 12cm

we take π =

TO FIND : volume of the cylinder = ?

PROCEDURE :

As the cylinder if formed from the rectangular foil, we can say that length of the rectangle is now the circumference of the base of the cylinder.

⇒ 66 = 2π r

So, r = = = = = = 10.5cm

∴ r = 10.5cm

Now, As we know, that

Volume of a cylinder “V” = π r²h

We put the values of r and h in the above formula, we get,

V = × (10.5)² × 12

= × 110.25 × 12

= 4158 cm³

∴ volume of the cylinder is 4158 cm³