Pawan Prajapati
Last Activity: 2 Years ago
Hint:
A rectangular sheet is rolled to make a cylinder along its length. Then the length of the rectangle becomes the length of the cylinder. And wide become the perimeter of the circle hence l=33cm and p=32cm from p we can calculate the radius of the circle as p=2πr=32cm,now we know length and radius of cylinder then volume of cylinder is equal to πr2l. Then substituting π=227 we will calculate the required value.
Complete step by step solution:
A rectangular sheet is rolled to make a cylinder along its length. Then length of the rectangle is become the length of the cylinder and wide become the perimeter of the circle
So, length cylinder= l=33cm
And perimeter= 32cm
p=2πr=32cm
So, r=16πcm
Now, we know that
Volume of cylinder =πr2l
Substituting l=33cm and r=16πcmthen
Volume =π×(16π)2×33cm3
V=256×33πcm3
Substituting π=227
V=2688cm3=2.688liter
Note:
If a sheet is folded along with width then its length becomes the perimeter of the circle. Formulas must be remembered: the live perimeter is p=2πrand volume πr2l. The Units of the quantities must be mentioned and all the units must be the same. 1000cubic cm = 1 liter