Area and Volume Dilations

A cone and ints dimensions are shown in the diagram. Which measurement is closest to the volume of the cone in cubic inches?

• 186.38 in³

• 248.50 in³

• 745.51 in³

• 62.13 in³

Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The dimensions of each container are shown in the drawing. Which statement about the volumes of the cone and cylinder is true?

• The volume of the cylinder is about 377 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 377 cubic inches less than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches greater than the volume of the cone.

• The volume of the cylinder is about 25 cubic inches less than the volume of the cone.

A sphere and its dimensions are shown in the diagram. Which measurement is closest the the volume of the sphere in cubic inches?

• 1,325.4 in³

• 188.5 in³

• 94.2 in³

• 1,767.1 in³

A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters. Which equation can be used to find V, the volume of this silo in cubic meters?

a transformation that ​changes the size (enlargement or reduction) of a figure is called a ​ ​ ​ (a)  

• dilation

• rotation

• reflection

• translation

What is the scale factor if the smaller rectangle is the original rectangle?

• 4

• 25

• 5

• 6

True of False: When you expand a figure, you multiply by a whole number. 

• true

• false

What is the scale factor used to dilate the small square to the larger square given there areas?

• 4

• 16

• 3

• 12

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles

• triples

• quadruples

• not enough information

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2