Question

A rectangular sheet of paper is rolled in two different ways to form two different cylinders. If sheet of paper is 66 cm x 22 cm, then find volume of cylinders in each case.​

Answer 1

Answer:

3811.5

Step-by-step explanation:

Case 1) 44 cm will become circumference of the base circle and 33 cm will become height of the cylinder

∴2πr=44

∴2×

7

22

×r=44

∴r=44×

44

7

∴r=7cm

Thus, volume of the cylinder is,

V=πr

2

×h

∴V=

7

22

×7

2

×33

∴V=22×7×33

∴V=5082cm

3

2) 33 cm will become circumference of the base circle and 44 cm will become height of the cylinder

∴2πr=33

∴2×

7

22

×r=33

∴r=33×

44

7

∴r=

4

21

cm

Thus, volume of the cylinder is,

V=πr

2

h

∴V=

7

22

×(

4

21

)

2

×44

∴V=

7

22

×

4×4

21×21

×44

∴V=11×

2

3×21

×11

∴V=3811.5cm

3

Answer 2

Answer:

Step-by-step explanation:

1.let h=66cm and b=22cm

2πr=22cm

r=11/π

v=π$r^{2}$h

v=π(11/π)(11/π)(66)

v=7,986/π

v=2,542.02$cm^{2}$

2.let h=22cm and b=66cm

2πr=66cm

r=33/π

v=π$r^{2}$h

v=π(33/π)(33/π)(22)

v=23,958/π

v=7,626.02$cm^{2}$