Question 7
A cylinder roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of $5500 m^{2}$ . How many revolutions did it make?

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Solution

Given, length of the cylindrical roller, h = 2.5 m
Radius of the cylindrical roller, r = 1.75 m
Total area rolled on a road by cylindrical roller $= 5500 m^{2}$
$∴$ Area rolled to cover in one revolution = Curved surface area of the cylindrical roller
$2 π r h = 2 \times \frac{22}{7} \times 1.75 \times 2.5$
$= \frac{44 \times 4.375}{7} = \frac{192.5}{7} = 27.5 m^{2}$
$∴$ Number of revolutions rolled by a cylindrical roller
$= \frac{T o t a l a r e a r o l l e d b y c y l i n d r i c a l r o l l e r}{A r e a r o l l e d t o c o v e r b y a c y l i n d r i c a l r o l l e r i n o n e r e v o l u t i o n} = \frac{5500}{27.5} = 200$

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Question 7 A cylinder roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 m2. How many revolutions did it make?

Question 7
A cylinder roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of $5500 m^{2}$ . How many revolutions did it make?