Activities

1. Calculate the volume of a cone with a height of 7.6 cm and a radius of 4 cm.  Round your answer to the nearest hundredth.
   
   
2. A can of paint is 14 centimeters tall and has a diameter of 12.8 centimeters.  How much paint will the can hold?  Round your answer to the nearest tenth.
   
   
3. Calculate the volume of the figure below.  Round your answer to the nearest tenth.

4. A cylindrical container with a radius of 4 feet is filled up to 9 feet with gas that costs $3 per cubic foot.  What is the total value of the gas in the container?

5. Calculate the volume of the solid below and round your answer to the nearest tenth.

6. Calculate the volume of the solid below.  Leave your answer in terms of pi.

7. Rosa stores her iguana food in a can that is 8 inches tall and has a diameter of 6 inches.  She stores her hamster food in a can that is 10 inches tall and has a diameter of 5 inches.  Make a prediction about the amount of food held by each can (i.e. one is more, they hold the same amount). Tell why you think that.  Calculate the actual amounts held by each can, round your answer to the nearest tenth. Was your prediction correct? Explain.

Answer Key/Rubric

1. 127.34 cm³
   
   
2. 1801.5 cm³
   
   
3. 10289.8 in³

4. $1,357.17
   Volume of the cylinder is

5. 191,134.5 ft³
   Volume of the cone + Volume of ½ sphere

6. 
   Volume of cylinder + Volume of cone

7. Acceptable responses may include, but are not limited to:

• Student makes a prediction and tells why they are thinking that
• Iguana can holds 226.2 cubic inches
• Hamster can holds 196.3 cubic inches
• Iguana can holds more
• Student critiques their prediction