Question

Breadth of rectangle = height of cylinder

Answer 1

Step-by-step explanation:

The area of the rectangle is the width times height. The width is the height h of the cylinder, and the length is the distance around the end circles.

Answer 2

Answer:

The volume of a cylinder is equal to the area of the circular base times the height:

V=(A)(H)V=(A)(H)

or

V=(πR2)(H)V=(πR2)(H) ————- equation 1

The height of the cylinder will be the length of the long side of your paper, so H=25cmH=25cm. Now we need the radius of the circular base.

The width of the paper will equal the circumference of the circle which forms the base of the cylinder. Use this to determine the radius of the circle:

Circumference = 2πR2πR

∴∴ 14cm=2πR14cm=2πR

or

R=142π=7πR=142π=7π cm.

Plug this into equation 1 (above):

V=π(7π)2(25)=(49)(25)π=389.9V=π(7π)2(25)=(49)(25)π=389.9cm3cm3

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