Question

a road roller takes 750 complete revolutions to move once over to level a Road find the area of the road if the diameter of the road roller is 84 cm and length is 1 metre ​

Answer 1

Answer:

multiply 750 with 84, with the product multiply 1 and you will get the answer.

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Answer 2

Answer :-

Area of the road is 198 km.

Step-by-step explanation:

$\sf \bigstar \: Topic :-$

Area and volume

In this topic, we derive formulas for finding the area of certain objects, which makes the calculations easy and is useful in our day to day life. We will use the formula for CSA of a cylinder, the formula is :-

$\bull \: \boxed{ \sf CSA = 2 \pi rh}$

And also, we have to find the area of the road, for that we will use the formula of :-

$\bull \: \boxed { \sf Distance \: Covered =CSA \times Number \: of \: revolutions }$

Using these both formula we will solve the question!!

Solution :-

Provided Information :-

• Number of revolutions = 750
• Diameter of the road roller = 84 cm = radius = 42 cm
• Length = 1 m = 100 cm

To Find out :-

• The area of the road

Calculations :-

We will find out the area of the road roller, we get :-

$\sf \dashrightarrow C.S.A. = 2 \times \dfrac{22}{7} \times 42 \times 100 \\ \\ \sf \dashrightarrow C.S.A. = 2 \times 22 \times 6 \times 100 \: \: \: \\ \\ \sf \dashrightarrow C.S.A. = 44 \times 600 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \dashrightarrow C.S.A. = 264000 \: {cm}^{2} \: \: \:\ \: \: \: \: \: \: : \: \: \:$

Now, calculating the area of the road, we get :-

$\sf \dashrightarrow Area= 264000 \times 750\:\: \\ \\ \\ \sf \dashrightarrow Area = 1980000000 cm²\\ \\ \\ \sf \dashrightarrow Area =198 ~ km \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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