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# Common Core Standard 8.G.C.9 Questions

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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What is the volume of a cylinder with a radius of 6 cm and a height of 10 cm? Use pi = 3.14.
1. 1130.4 $cm^3$
2. 1130 $cm^3$
3. 360.8 $cm^3$
4. 600 $cm^3$
Pi $(pi)$ is used when calculating which of the following?
1. area of a circle
2. volume of a sphere
3. volume of a cylinder
4. volume of a cone
5. all of the above
What is the volume of a cone with a radius of 3 feet and a height of 8 feet? (round to nearest tenth if needed)
1. 72.7 $ft^3$
2. 75.4 $ft^3$
3. 226 $ft^3$
4. 84.8 $ft^3$
What is the approximate volume of a cone with a height of 6 cm and a base radius of 2 cm? (Use $pi$ = 3.14).
1. 25 cubic centimeters
2. 23 cubic centimeters
3. 75 cubic centimeters
4. 38 cubic centimeters
A spherical water tower has a diameter of 32 feet. How much water can it hold?
1. 51,471 $ft^3$
2. 17,157 $ft^3$
3. 12,868 $ft^3$
4. 17,158 $ft^3$
What is the approximate volume of a cylinder with a radius of 5 in and a height of 4 in?
1. 63 inches cubed
2. 105 inches cubed
3. 251 inches cubed
4. 314 inches cubed
A conical sand pile has a diameter of 123 feet and a height of 61 feet. How much sand is in the pile?
1. 241,606 $ft^3$
2. 28,942 $ft^3$
3. 2,899,278 $ft^3$
4. 241,607 $ft^3$
A pencil has a diameter of 0.75 cm and a length of 20 cm. How much wood is in the pencil?
1. 26.5 $cm^3$
2. 8.8 $cm^3$
3. 35.3 $cm^3$
4. 6.3 $cm^3$
What is the formula for the volume of a sphere?
1. $V = l xx w xx h$
2. $V = 1/3pir^2h$
3. $V=pir^2h$
4. $V=4/3pir^3$
Ace Canning Company is redesigning its product. The new cans will have twice the radius, but the same height of the original cans. Which statement is true about the volume of the new cans compared to the volume of the original cans?
1. the volumes of the new and original cans will be equal
2. the volume of the new cans will be twice the volume of the original cans
3. the volume of the new cans will be four times the volume of the original cans
4. not enough information to determine
Which of the following will hold the greatest volume?
1. a sphere with a radius of 10 cm
2. a cube with a side length of 10 cm
3. a cone with a radius of 10 cm and a height of 10 cm
4. a cylinder with a radius of 10 cm and a height of 10 cm
What is the approximate volume of a sphere with a radius of 3 ft?
1. 14 cubic feet
2. 113 cubic feet
3. 339 cubic feet
4. 905 cubic feet
What is the formula for the volume of a cone?
1. $V = l xx w xx h$
2. $V = 1/3pir^2h$
3. $V=pir^2h$
4. $V=4/3pir^3$
1. $V = l xx w xx h$
2. $V = 1/3pir^2h$
3. $V=pir^2h$
4. $V=4/3pir^3$
1. $5.0 xx 10^4$ cubic miles
2. $10.0 xx 10^4$ cubic miles
3. $2.6 xx 10^11$ cubic miles
4. $2.1 xx 10^12$ cubic miles