Question

a rectangular sheet of a metal foil is 88 cm long and 20 cm wide. a cylinder made but of it by rolling the foils along width .find the volume of the cylinder.

Answer 1

The volume of the cylinder is 2800 cm³.

Given data :

Length of the rectangular sheet = 88 cm

Breadth of the rectangular sheet = 20 cm

According to the circumstances mention in the question, the circumference will be equal to the breadth of the sheet and the length will be the height of the cylinder.

So, Base circumference = 20 cm

Height of the cylinder = 88 cm

Let,the base radius = r cm

So,

2πr = 20

2π × r = 20

r = 20/2π

r = 10/π

So,the radius of the base = 10/π cm

Volume = π× (10/π)² × 88 = π × 100/π² × 88 = 100/π × 88 = 100/22/7 × 88 = 100×7/22 × 88 = 2800 cm³ (answer)

Answer 2

Answer:

h=20cm

2πr=88cm

2×

7

22

×r=88cm⇒r=14cm

URl=πr

2

h=

7

22

×14×14×20

=22×2×280

=22×560

=12320cm

3