Question

Aditya folds a rectangular paper of size 88 cm × 4 cm in cylindrical shape such that height of the

cylinder is 4 cm. Find the volume of cylinder

Answer 1

Answer:

• Volume of cylindrical shape paper = 2461.76 cm³

Step-by-step explanation:

Given:

• Dimension of rectangular paper = 88 × 4 cm
• Height of cylinder form = 4 cm

To Find:

• Volume of cylinder.

Now, as we know when rectangular sheet is rolled like cylinder, length become circumference,

⇒ Circumference of circle = 88 cm

⇒ 2πr = 88

⇒ 2 × 3.14 × r = 88

⇒ 6.28r = 88

⇒ r = 88/6.28

⇒ r = 14 cm (Approx).

Now, we will calculate volume of cylinder,

⇒ Volume of cylinder = πr²h

⇒ Volume of cylinder = 3.14 × 14 × 14 × 4

⇒ Volume of cylinder = 3.14 × 784

⇒ Volume of cylinder = 2461.76 cm³

Hence, Volume of cylindrical shape paper = 2461.76 cm³