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Mathematics
19. Surface Area and Volume of a Right Circular Cylinder
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Q11 of 70 Page 19

The volume of a cylinder of radius r is 1/4 of the volume of a rectangular box with a square base of side length x. If the cylinder and the box have equal heights, what is r in terms of x?

Given

Radius of cylinder = r

Side length of square base =x

Height of rectangular box = height of cylinder

= πr2h =

= r2 =

= r =

= r =

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9

In a cylinder, if radius is halved and height is doubled, the volume will be

10

If the height of a cylinder is doubled, by what number must the radius of the base be multiplied so that the resulting cylinder has the same volumes as the original cylinder?

12

The height h of a cylinder equals the circu,ference of the cylinder. In terms of h, what is the volume of the cylinder?

13

A cylinder with radius r and height h is closed on the top and bottom. Which of the following expressions represents the total surface area of this cylinder?

Questions · 70
19. Surface Area and Volume of a Right Circular Cylinder
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