Exploring Volume Calculations for Cylinders and Cones

What is the formula for the volume of a cylinder?

• Volume = pi * diameter * height

• Volume = pi * radius^2 * height

• Volume = base area + height

• Volume = 2 * pi * radius * height

How much space did Victoria leave for cream in her coffee cup?

• 5 cm

• 4.5 cm

• 15 cm

• 10.5 cm

What is the new height of the coffee in Victoria's cup after leaving space for cream?

• 11 cm

• 14.5 cm

• 9 cm

• 10.5 cm

How do you calculate the volume of a cone?

• Volume = pi * radius^2 * height

• Volume = (1/3) * pi * radius^2 * height

• Volume = 3 * pi * radius^2 * height

• Volume = pi * radius * height

How many ounces of space are in the cone-shaped cup?

• 20.9 cubic inches

• 11.5 ounces

• 20.9 ounces

• 11.495 ounces

How do you convert cubic inches to fluid ounces?

• Divide by 1.8

• Divide by 0.55

• Multiply by 0.55

• Multiply by 1.8

How many cones can be filled with water from three identical cylinders?

• 12 cones

• 9 cones

• 6 cones

• 3 cones

What is the relationship between the volume of a cone and a cylinder with the same height and radius?

• The volume of a cone is one-third that of a cylinder.

• The volume of a cone is twice that of a cylinder.

• The volume of a cone is half that of a cylinder.

• The volume of a cone is the same as that of a cylinder.

Given a cone's volume and height, how do you find its radius?

• Multiply the volume by 3 and divide by pi and height

• Divide the volume by pi and height

• Multiply the volume by pi and divide by the height

• Divide the volume by 3, pi, and height

What was the radius of the cone with a volume of 7065 cubic inches and a height of 30 inches?

• 10 inches

• 25 inches

• 15 inches

• 20 inches