Question

a cylander of curved surface area 1152 m2 is formed from a rectangular metallic sheet find the dimensions of the rectanglar sheet its length is double of its breadth​

Answer 1

Step-by-step explanation:

Let the breadth be x.

Therefore, length of the sheet = 2x.

The CSA of the cylinder is the same as the area of the rectangular sheet.

CSA of cylinder = 1152m²

So forming an equation,

2x x x = 1152m²

2x² = 1152m²

x² = \dfrac{1152}{2}

2

1152

= 576.

Therefore,

x = \sqrt{576}

576

= 24 cm

Therefore,

Breadth of the rectangular sheet = x = 24 cm.

Length of the rectangular sheet = 2x = 2 x 24 = 48 cm.

Formulas used:

→ Area of rectangle

→ CSA of cylinder

Surface areas and volumes of Cylinder

→ CSA of cylinder = 2πrh

→ TSA of cylinder = 2πr (r +h)

→ Volume of cylinder = πr²h