8th Grade Math Quiz: Volume and Graphs

What is the formula for calculating the volume of a cylinder?

• 2 times pi times radius times height

• pi times diameter squared times height

• pi times radius times height

• pi times radius squared times height

If a cone and a cylinder have the same height and radius, how does the volume of the cone compare to the cylinder?

• The cone's volume is half the cylinder's volume.

• The cone's volume is one-third the cylinder's volume.

• The cone's volume is equal to the cylinder's volume.

• The cone's volume is twice the cylinder's volume.

Given a cylinder with a diameter of 6 cm and a volume of 36 pi cm³, what is its radius?

• 6 cm

• 3 cm

• 12 cm

• 9 cm

What is the height of a cylinder with a radius of 3 cm and a volume of 36 pi cm³?

• 6 cm

• 3 cm

• 4 cm

• 9 cm

How much does each t-shirt cost if 10 or fewer shirts are ordered?

• $10

• $9

• $11

• $8

What is the cost per t-shirt if 11 or more shirts are ordered?

• $10

• $11

• $9

• $8

What is the slope of the graph representing the cost of t-shirts when ordering between 0 and 10 shirts?

• 9

• 8

• 10

• 11

What does the slope of 10 represent in the context of the t-shirt cost graph?

• The discount on t-shirts

• The cost of one t-shirt

• The total cost of all t-shirts

• The cost of 10 t-shirts

What is the slope of the graph when ordering between 11 and 15 shirts?

• 11

• 10

• 8

• 9

What does the slope of 9 represent in the context of the t-shirt cost graph?

• The discount on t-shirts

• The cost of 9 t-shirts

• The total cost of all t-shirts

• The cost of one t-shirt