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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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