Question

a sheet of paper rectangular in shape has dimension 22 m by 10 cm this can be wrapped exactly once around the curved surface of a cylinder of the height 10 cm find the volume of the cylinder...

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Answer 1

Answer:

Correct Answer:

A) 385 m³

Step-by-step explanation:

The dimension of the rectangular sheet = 22m×10m

Height of the cylinder = 10m (given)

Circumference of the base of the cylinder = 22m

2πr=22

r=22×722×12=72 m.

Volume of the cylinder = πr2h

=227×72×72×10

=11×35=385 m³

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Answer 2

Answer:

h of cylinder = 10

dimensions of rectangle = 22 × 10

area of rectangle = area of cylinder

l × b. = 2πrh

22 × 10 = 2πr × 10

220 ÷ 10 = 44/7r

22 = 44/7r

154/ 44 = r

r = 3.5

volume of cylinder = (πr²) × h

= 22/7 × (3.5)² × 10

= 22/7 × 3.5 × 3.5 × 10

= 385 cm³