1. APPLICATION PROBLEMS VOLUME OF PYRAMIDS AND CONES The larger shape has about twice the volume of the smaller shape. TRUE or FALSE 24 12 16

2. ANSWER is FALSE. 768 unit³ to 96 unit³ So it is 8 times larger in terms of volume The larger shape has about twice the volume of the smaller shape. TRUE or FALSE 24 12 16

3. APPLICATION #1 If the shape of this rectangular pyramid was changed to a rectangular prism with the same dimensions, explain what would happen to the volume. If the shape of this rectangular pyramid was changed to a rectangular prism with the same dimensions, explain what would happen to the volume.

4. ANSWER It would triple in volume since you would use the same formula V = lwh but since it is a pyramid you use V = 1/3lwh It would triple in volume since you would use the same formula V = lwh but since it is a pyramid you use V = 1/3lwh 480 in³ to 160 in³ 480 in³ to 160 in³

5. APPLICATION PROBLEM #2 An ice cream company wants to double the volume of this cone. What would the dimensions need to be changed to achieve this using only whole numbers for the radius and height. An ice cream company wants to double the volume of this cone. What would the dimensions need to be changed to achieve this using only whole numbers for the radius and height.

6. ANSWER Volume of the original figure is 103.6 cm³ Volume of the original figure is 103.6 cm³ If you change the radius to 5 cm and height to 8 cm the volume would change to 209.3 cm³, so that is REAL CLOSE. Some others might work as well like 4 cm for the radius and 13 cm high. If you change the radius to 5 cm and height to 8 cm the volume would change to 209.3 cm³, so that is REAL CLOSE. Some others might work as well like 4 cm for the radius and 13 cm high.

7. APPLICATION #3 8cm 10cm 4cm Find the total Volume V T = V cylinder + V cone V T = 669.9cm 3 + 803.84cm 3 V T = 1473.7cm 3

8. APPLICATION #4 Find the volume of the shaded figure. Answer is 602.88 cm³

9. APPLICATION #5 Find the Volume Find the Volume

10. ANSWER V = 868.3 unit³ V = 868.3 unit³ 8.3