Have an account?
Skip to Content
Build your own quiz
Suggestions for you
Mathematics
9th -
11thgrade
Surface Area and Volume Word Problems of Cone,Spheres, Cylinders
18 questions
Show Answers
See Preview
- 1. Multiple Choice
A paper party hat, has a slant height of 6 inches and a height of 5 inches. How many square feet of poke-dot paper would be needed to create this hat?
62.5 in.2
10 in.2
50 in.2
22.5 in.2
- 2. Multiple Choice
It is snowing and salt trucks are dumping a mixture to help. When the mixture is dumped from a truck, it forms a mound with a conical shape. If the mound has a diameter of 15 feet and a height of 10 feet, how much salt-sand mixture is there?
1,767 ft3
7,068.5 ft3
589 ft3
4,417.9 ft3
- 3. Multiple ChoiceThe height of a cone is equal to two times the radius of the base. If the base has an area of 25π, what is the volume of the cone?83.3π250π105
- 4. Multiple ChoiceIf a hemisphere has V=18π, what is the value of the radius?313.554108
- 5. Multiple ChoiceIf a cone has V = 602 cm^3 and a height of 36, what is the value of the radius?416.750.216
- 6. Multiple Choice
Sarah needs a PVC cylinder pipe with a diameter of 10 inches and a height of 2 inches, how much material is needed to make 5 pipes?
62.8 inches 2
219.8 inches 2
314 inches 2
422 inches 2
- 7. 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
- 8. 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.
- 9. Multiple ChoiceA 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 ft3141.3 ft388.3 ft370.7 ft3 - 10. Multiple Choice
Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.
58.29 cm2
58.29 cm3
233.15 cm2
233.15 cm³
- 11. Multiple Choice
A deflated basketball is only 25% filled with air. Calculate how much air must be pumped into a basketball with a diameter of 6 inches.
113.04 in3
28.3 in3
84.7 in3
113.04 in2
339.12 in2
- 12. Multiple Choice
A cylindrical nerf shark tank at the Houston Aquarium has a height of 90 feet and a diameter of 30 feet. How much water is needed to fill HALF of the tank.
Use 3.14 for π.
63,585 ft3
9896.02 ft2
22,619 ft2
31,792.5 ft3
- 13. Multiple Choice
Jerzy’s grandma brought him back a snow globe from California with a diameter of 30 cm. How much wrapping paper was needed to wrap it?
Use 3.14 for π.
2,826 cm2
11,304 cm2
14,130 cm3
113,040 cm3
- 14. Multiple Choice
Shelby just bought a giant beach ball that is 72 in across the center. How much air will she need to fill it?
3.14 for π.
1,562,660 in3
195,333 in3
5,425.92 in3
16,278 in2
65,111 in2
- 15. Multiple Choice
The surface area of a sphere is 11,304 m2. What is the volume of the sphere? Use 3.14 for pi. Round your answer to the nearest cubic meter.
22,608 m3
113,040 m3
381,510,000 m3
Not Enough Information
- 16. Multiple ChoiceV = ?1,356 m31,734 m3377 m3590 m3
- 17. Multiple ChoiceA 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.502.4 in3167.5 in3251.2 in383.7 in3
- 18. Multiple ChoiceA sphere has the volume of 905 cm rounded to the nearest whole number. What is the radius of the sphere?69
- Answer choicesTagsAnswer choicesTags