Unit 5 Volume Review

Bianca stacked two sets of 10 pennies. However, one stack is slanted.

Which statement is TRUE about Bianca’s stack of pennies?

• The stacks have different volumes because they have different radii.

• The stacks have the same volume because they have the same radii.

• The stacks have different volumes because they are of different heights.

• The stacks have the same volume because they share the same cross sectional

  plane.

The diagram shows a snow cone cup that is 12 cm deep and 6 cm across the opening of the cone. A sphere-shaped scoop of ice with a distance of a 6 cm cross section is to be placed on top of the cup. Why would the ice not overflow the cup if it were to melt?

Given two cones, the first has a radius of 8 inches and the second has a radius of 12 inches. Both have a height of 9 inches. How much more water can the second cone hold than the first cone? Round your answer to the nearest hundredth.

Which formulas would be needed to find the volume of the given figure?

A circle is divided into 12 congruent sectors to make the figure shown, which is similar to a parallelogram. What statement is TRUE about using the parallelogram to find the area of the circle?

• The height of the parallelogram is the radius of the circle and the base is the circumference of the

  circle.

• The height of the parallelogram is the diameter of the circle and the base is the circumference of

  the circle.

• The height of the parallelogram is the radius of the circle and the base is one-

  half of the circumference of the circle.

• The height of the parallelogram is the diameter of the circle and the base is one-half of the

  circumference of the circle.

What is the shape of the cross section created by a plane passing through points X, Y, V and U?

• a rhombus

• a rectangle

• a right triangle

• a non-right triangle

Which formula can be used to determine the area of pizza?

The cylinder and prism shown have the same height and equal base areas. According to Cavalieri's Principle, which statement is TRUE?

• The prism has the larger volume.

• The cylinder has the larger volume.

• The prism and the cylinder have the same volume.

• The prism has a volume that is one-third the volume of the cylinder.

A plane intersects a cylinder. The plane is perpendicular to the base of the cylinder. Which two-dimensional figure is the cross section of the plane intersecting the cylinder?

• ellipse

• circle

• triangle

• rectangle

If the rectangle below is continuously rotated about side w, which solid figure is formed?

 

• pyramid

• rectangular prism

• cone

• cylinder