A rectangle sheet of paper44cm×18cm is rolled along its length and a cylinder is formed.fine the volume of the cylinder.
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A rectangular sheet of paper 44cm×18cm is rolled along its length and a cylinder is formed. The volume of the cylinder so formed is equal to (Takeπ=227 )
A.2772cm3
B.2506cm3
C.2460cm3
D.2672cm3
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Hint: Here, in this given question, when a rectangular sheet of paper 44cm×18cm is rolled along its length and a cylinder is formed, the width of the sheet becomes the height of the cylinder and the length becomes its base circumference. Then we just need to find the value of the radius of the base of the cylinder and put it in the formula for volume of a cylinder, πr2h and get our required answer.
Complete step-by-step answer:
In this given question, a rectangular sheet of paper 44cm×18cm is rolled along its length and a cylinder is formed and we are asked to find out the volume of the formed cylinder.
Now, when a rectangular sheet of paper 44cm×18cm is rolled along its length and a cylinder is formed, the width of the sheet becomes the height of the cylinder and the length becomes its base circumference as shown in the figure.
So, the height of the cylinder is 18cm.
The base circumference is equal to 44cm.
This implies that,
2πr=44⇒2×227×r=44⇒r=7cm
Now, the volume of a cylinder is equal to πr2h.
So, putting the obtained value of r as 7cm in πr2h, we get,
volume=πr2h=227×72×18=2772cm3
Hence, we obtain the volume of the concerned cylinder as 2772cm3.
Answer:
22772 cm cube
Step-by-step explanation:
So, the height of the cylinder is 18cm. The base circumference is equal to 44cm. Now, the volume of a cylinder is equal to 2πr=44⇒
2×227×r=44
r=7cm
volume=πr2h=227×72×18=2772cm3
Hence, we obtain the volume of the concerned cylinder as 2772cm3.