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Mathematics
9th -
11thgrade
Surface Area and Volume of Cones and Spheres
19 questions
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- 1. Multiple ChoiceFind the lateral surface area of the cylinder.471.24 square centimeters157.08 square centimeters314.16 square centimeters296.72 square centimeters
- 2. Multiple Choicefind the total surface area of the cylinder .456.33m21445.1m21245.m26789m2
- 3. Multiple ChoiceA table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?1,676 mm318,850 mm333,510.3 mm3268,083 mm3
- 4. Multiple ChoiceWhat is this formula used to find?
V=πr2hThe volume of a cylinderThe volume of a coneThe volume of a sphereThe area of a circle - 5. Multiple ChoiceA silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?27,143.36 ft33391.2 ft313,571.68 ft36,785.84 ft3
- 6. Multiple ChoiceChoir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?V = π(9)V = π(4.5)2(32)V = π(9)2(32)V = π(4.5)(32) - 7. Multiple ChoiceJason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. How much soda is in the can? Leave the answer in terms of π.1075π268.75π430π806.25π
- 8. Multiple Choice
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
320.4 in3
314 in3
205.5 in3
267.4 in3
- 9. Multiple Choice
1,356 m3
1,734 m3
377 m3
590 m3
- 10. Multiple ChoiceFind the volume of the Sphere78.5 m3392.5 m3523.6 m362.8 cm3
- 11. Multiple ChoiceFind the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.183.0 cm²; 233.2 cm²188 cm²; 259 cm²83.7 cm²; 93.2 cm²190 cm²; 240 cm²
- 12. Multiple Choice
Find the total surface area of the cone. Round to the nearest tenth.
37.7 m²
50.3 m²
75.4 m²
25.1 m²
- 13. Multiple ChoiceKayla 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.
- 14. Multiple ChoiceMike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?21 cubic inches63 cubic inches66 cubic inches198 cubic inches
- 15. Multiple ChoiceWhich label would NOT be appropriate for volume.square milesinches3cm3cubic feet
- 16. Multiple Choice
The diameter of a basketball is 9.55 inches. What's the volume?
456 in3
3648 in3
1216 in3
286.5 in3
- 17. Multiple Choice
Calculate the surface area of a square-based pyramid with a side length of 6 cm and a slant height of 8 cm.
60
132
102
30
- 18. Multiple Choice
Find the height of a cone that has a volume of 150.72 m3 and radius of 4 m. Round your answer to the nearest whole number. Write your answer in the box.
9
6
7
3
- 19. Multiple Choice
The volume of a cone with a radius of 6 cm and a height of 10 cm is
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