Topic 4 Quiz

A cone sits inside a cylinder, as shown.

They share the same height and radius.

What is the approximate volume of the cylinder

NOT taken up by the cone?

• 75.8 in.³

• 150.8 in.³

• 226.8 in.³

• 301.8 in.³

If you know the volume of a cone and that a cylinder has the same base and height as the cone, how would you determine the volume of the cylinder?

• Add 3 to the volume of the cone.

• Subtract 3 from the volume of the cone.

• Multiply the volume of the cone by 3.

• Divide the volume of the cone by 3.

A paint can is shaped like a cylinder.

The diameter of the paint can is 17 centimeters,

and the height of the paint can is 20 centimeters.

Which equation can be used to find V,

the volume of the paint can in cubic centimeters?

• V = π(17)²(20)

• V = π(20)²(17)

• V = π(8.5)²(20)

• V = π(20)²(8.5)

A candle is formed in the shape of a cylinder.

It has a diameter of 4 inches and a height of 5 inches.

Which measurement is closest to the total surface area of the candle in square inches?

• 43.98 in.²

• 62.83 in.²

• 87.96 in.²

• 226.19 in.²

The volume of a cylinder is 845 cubic feet.

The height is 13.2 feet.

Determine the radius of the cylinder.

Round to the nearest hundredth, if necessary.

Mathematical Equivalence

ON

A cylindrical flower vase has a height of 8 inches and a diameter of 4 inches.

You decide to wrap a piece of decorative fabric around the vase.

How much fabric will you need to wrap the body of the vase?

Round to the nearest hundredth, if necessary

Mathematical Equivalence

ON

A cylindrical can of juice has a height of 11 inches and a diameter of 5 inches.

A fridge pack of juice consists of 12 cans stacked in a box.

What is the volume of a fridge pack of juice? Round to the nearest hundredth, if necessary.

Mathematical Equivalence

ON

Marcy is comparing the lateral surface area and total surface area of a cylinder with a height of 12 inches and a radius of 9 inches. Calculate the difference between the total surface area and lateral surface area of the cylinder in square inches. Round to the nearest hundredth, if necessary.

Mathematical Equivalence

ON

A cone has a radius of 6 inches and a height of 9 inches.

Calculate the volume of the cone.

Round to the nearest hundredth, if necessary.

Mathematical Equivalence

OFF

The volume of a cone is 48π cubic meters. The radius is 4 meters.

Determine the height of the cone in meters.

Mathematical Equivalence

ON