Question

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.
(A) 2772 cm
(B) 5148 cm
(C) 4185 cm3
D) 4158 cm
3​

Answer 1

Step-by-step explanation:

Length of metal sheet = 66cm

Breadth = 12cm

The height of the cylinder so formed = 12 cm

That means the circumference of the cylindrical top is 66 cm

2 pi r = 66cm

2 × 22 / 7 × r = 66

44r / 7 = 66

44r = 7 × 66

44r = 462

r = 462 / 44

r = 10.5 cm

Volume of cylinder = pi r2 h

= 22 / 7 × 10.5 × 10.5 × 12

= 22 / 7 × 10.5 × 10.5 × 12

= 22 / 7 × 105 / 10 × 105 / 10 × 12

= 11 × 3 × 21 × 6

= 33 × 21 × 6

= 4158 cm3

Hope it helps.

Answer 2

Answer:

r=33

h=12

v=

$\pi$

r^2h