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# The Lateral Surface Area of a Hollow Cylinder is 4224 Cm2. It is Cut Along Its Height and Formed a Rectangular Sheet of Width 33 Cm. Find the Perimeter of Rectangular Sheet? - CBSE Class 8 - Mathematics

ConceptSurface Area and Volume of Cube, Cuboid and Cylinder Concept of Cylinders

#### Question

The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?

#### Solution

A hollow cylinder is cut along its height to form a rectangular sheet.

Area of cylinder = Area of rectangular sheet

4224 cm2 = 33 cm × Length

Length = (4224 cm^2)/ (33 cm) = 128 cm

Thus, the length of the rectangular sheet is 128 cm.

Perimeter of the rectangular sheet = 2 (Length + Width)

= [2 (128 + 33)] cm

= (2 × 161) cm

= 322 cm

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#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 11: Mensuration
Ex. 11.30 | Q: 8 | Page no. 186
Solution The Lateral Surface Area of a Hollow Cylinder is 4224 Cm2. It is Cut Along Its Height and Formed a Rectangular Sheet of Width 33 Cm. Find the Perimeter of Rectangular Sheet? Concept: Surface Area and Volume of Cube, Cuboid and Cylinder - Concept of Cylinders.
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