Cylinder Volume Practice

What is the effect of increasing both the radius and height of a cylinder on its volume?

• The volume will remain the same as the original dimensions.

• Increasing both the radius and height will decrease the volume.

• Increasing both the radius and height will increase the volume significantly, as both dimensions contribute to the volume calculation.

• Only increasing the height will affect the volume, while the radius remains unchanged.

What is the formula for the lateral surface area of a cylinder?

• @@A = 2 ext{π} r h@@

• @@A = ext{π} r^2 h@@

• @@A = 2 ext{π} r^2 + 2 ext{π} r h@@

• @@A = ext{π} d h@@

What is the significance of the height in the volume of a cylinder?

• The height has no effect on the volume of the cylinder.

• The height determines how tall the cylinder is, affecting the overall volume; a taller cylinder with the same base area has a greater volume.

• The height only affects the surface area, not the volume.

• The height is irrelevant as long as the base area is constant.

What does the variable 'h' represent in the volume formula of a cylinder?

• The radius of the cylinder

• The diameter of the cylinder

• The height of the cylinder

• The volume of the cylinder

What is the volume of a cylinder with a radius of 4 cm and a height of 15 cm?

• 240@@ ext{π}@@ cubic centimeters

• 180@@ ext{π}@@ cubic centimeters

• 300@@ ext{π}@@ cubic centimeters

• 200@@ ext{π}@@ cubic centimeters

What is the approximate value of π?

• 2.71

• 3.14

• 3.33

• 3.00

What does the variable 'r' represent in the volume formula of a cylinder?

• The height of the cylinder.

• The diameter of the base of the cylinder.

• The radius of the base of the cylinder.

• The circumference of the base of the cylinder.

What is the relationship between the volume of a cylinder and its height?

• The volume of a cylinder is inversely proportional to its height.

• The volume of a cylinder is directly proportional to its height; if the height increases while the radius remains constant, the volume increases.

• The volume of a cylinder is independent of its height.

• The volume of a cylinder decreases as the height increases.

What is the formula to find the volume of a cylinder?

• @@V = ext{π} r^2 h@@

• @@V = ext{π} r h@@

• @@V = rac{1}{3} ext{π} r^2 h@@

• @@V = 2 ext{π} r h@@

How do you convert the volume of a cylinder from cubic centimeters to liters?

• Multiply the volume in cubic centimeters by 1000

• Add 1000 to the volume in cubic centimeters

• Divide the volume in cubic centimeters by 1000

• Subtract 1000 from the volume in cubic centimeters