Multi-Step Problems

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (8 ,18)

• B' (-8 ,-18)

• 
  B' (9 ,4)

Write a rule for the translation.

• (x -1, y  + 2)

• (x +2, y  - 1)

• (x -2, y  + 1)

• (x +1, y  -  2)

Dilate Point B by a scale factor of 3:

• (12,0)

• (4,3)

• (12,12)

• (0,12)

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.

• The volume of Ball 1 is 8 times the volume of Ball 2.

• The volume of Ball 1 is twice the volume of Ball 2.

• The volume of Ball 2 is 8 times the volume of Ball 1.

A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.

• 176.6 ft³

• 141.3 ft³

• 88.3 ft³

• 70.7 ft³

Find the volume to the nearest hundredth.

• 12.57 ft³

• 37.68 ft³

• 18.84 ft³

• 6.28 ft³

You have a globe that has a radius of 11 inches. Find the volume of your globe.

• 523 in³

• 16,717 in³

• 5,575 in³

• 7,235 in³

A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

• 502.7 in³

• 167.5 in³

• 251.2 in³

• 83.7 in³

Find the volume

• 4 cm³

• 8 cm³

• 16 cm³

• 31 cm³

Find the volume.

• 44 yd³

• 66 yd³

• 132 yd³

• 264 yd³