Question

the lateral surface area of a hollow cylinder is 4224 centimetre square it is cut a long its height and formed rectangular sheet of width 33 centimetres find the perimeter of rectangular sheet​

Answer 1

Answer:

Length of rectangle will be equal to the circumference (2πr) of a circular end and the breadth will be equal to the height h of the cylinder.

Given:

Lateral surface area of hollow cylinder= 4224 cm²

Height of a hollow cylinder (h)= 33 cm

Lateral surface area or curved surface area of hollow cylinder= 2πrh

4224 = 2×(22/7) × r × 33

r=(4224×7) / 2×22×33

r= (64 × 7)/22

Length of rectangular sheet= 2πr

= 2×(22/7)× (64 × 7)/22

=64 × 2

= 128 cm

Perimeter of rectangular sheet = 2(l+b)

= 2(128+33)

= 2 × 161

= 322 cm

Hence, perimeter of rectangular sheet is 322 cm.

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Hope this will help you....

Step-by-step explanation:

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