Question

A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar

Answer 1

The length of the similar tube will be 5041 cm.

What is the area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

• A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?
• Tube made from a similar piece of card with an area of 500square centimetres.

The radius of the first tube will be calculated as:-

1200 = 2πr ( 13 )

r = 12 / 2π x 113

r = 14.7 cm

Now the length of the second tube will be:-

500 = 2π x 14.7 x L

L = 500 / 2π x 14.7

L = 5.41 cm.

Therefore the length of a similar tube will be 5041 cm.

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