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The curved surface area of a cylindrical road is 132 cm2. Find its length if the radius is 0.35 cm. - Mathematics

Answer in Brief

The curved surface area of a cylindrical road is 132 cm2. Find its length if the radius is 0.35 cm.

 
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Solution

\[\text{ Consider h to be the height of the cylindrical rod } . \]
\[\text{ Given:}  \]
\[\text{ Radius, r = 0 . 35 cm } \]
\[\text{ Curved surface area } = 132 {cm}^2 \]
\[\text{ We know: } \]
\[\text{ Curved surface area } = 2 \times \pi \times r \times h\]
\[ 132 = 2 \times \frac{22}{7} \times 0 . 35 \times h\]
\[ h = \frac{132 \times 7}{2 \times 22 \times 0 . 35}\]
\[ h = 60\]
\[ \text{  Therefore, the length of the cylindrical rod is 60 cm } .\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.1 | Q 2 | Page 10
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