Question

the lateral surface area of a hollow cyllinder is 4224cm2 . it is cut along its height and formed a rectangle sheet of width 33 cm. Find the perimeter of the rectangle sheet.​

Answer 1

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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shupriya928 Ambitious
Area of Rectangular Sheet = Surface Area of the Cylinder

Area of Rectangle = l x b

Or, l x b = 4224

l x 33 = 4224

l=4224/33=128

Perimeter = 2(128+33)

P=322cm