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Mathematics
9th -
10thgrade
Volume and Surface Area of Spheres and Hemispheres
20 questions
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- 1. Multiple Choice
What is the volume of the sphere in terms of π?
48π mm3
288π mm3
864π mm3
2304π mm3
- 2. Multiple Choice
What is the surface area of a baseball with a 3 inch diameter.
9π in2
36π in2
12π in 2
24π in2
- 3. Multiple Choice
Find the surface area of the hemisphere
904.3 in2
226.08 in2
339.12 in2
452.12 in2
- 4. Multiple Choice
Find the volume of the hemisphere
904.32 in3
144 in3
75.36 in3
452.16 in3
- 5. Multiple Choice
Find the radius of a Sphere that has a Volume of 4500π cubic inches.
3375 inches
15 inches
58 inches
2250 inches
- 6. Multiple Choice
Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.
345.3 in³
33.5 in³
25.1 in³
50.2 in³
- 7. Fill in the Blank
The volume of a half-inflated beach ball is about 2423.3 cm3. What is the diameter of the ball if it is fully inflated?
- 8. Fill in the Blank
A can of 3 tennis balls has an inside diameter of 6.25 cm and a height of 18.25 cm. If the diameter of a tennis ball is 6 cm, what percent of the can is taken up by the tennis ball? Round your answer to the nearest whole percent.
- 9. Multiple Choice
An ice cream vendor presses a sphere of frozen yogurt with a radius of 4 inches into a cone that has a diameter of 8 inches and a height of 12 inches. If the yogurt melts into the cone, will the cone overflow?
Yes, the volume of the yogart is about 67 in3 more.
No, the volume of the cone is about 107 in3 more.
No, the volume of the cone is about 335 in3 more.
Yes, the volume of the yogart is about 72 in3 more.
- 10. Multiple Choice
A ball fits perfectly inside of a 6 inch cube. What is the volume of the ball in cubic inches?
36π
18π
144π
288π
- 11. Multiple Choice
The surface area of a sphere is 324π cm2 . What is the volume of the sphere in cubic centimeters?
972π
279π
648π
267.5π
- 12. Fill in the Blank
A golf ball has a diameter of 1.7 inches. The company is looking to fill the inside of it with material. What is the VOLUME of the material inside the golf ball? Round your answer to the nearest hundredth.
- 13. Fill in the Blank
If it takes 8 cans of paint to paint the outside of a dome shaped playhouse, how many cans will it take to paint the floor of the playhouse?
- 14. Multiple Choice
The surface area of a beach ball is . Find the volume of the ball in cubic inches.
- 15. Fill in the Blank
The picture shows a sphere fitting snugly inside of a cylinder. Archimedes requested that such a figure be put on his gravestone along with the ratio of their volumes, a finding that he regarded as his greatest discovery! What is the ratio of the sphere to the cylinder? (Type your ratio as a fraction. You can use whatever measurement you want for the radius of the sphere - multiples of 3 are easiest though!)
- 16. Fill in the Blank
What is the VOLUME of this composite figure?
16 is the diameter. Round the answer to the nearest tenth.
- 17. Fill in the Blank
Which equation would you use to find the VOLUME of this composite figure? Round your answer to the nearest hundredth.
- 18. Multiple Choice
What is the volume of the cone to the nearest tenth (use the button)?
- 19. Multiple ChoiceFind the volume of the figure.126 cm3907.5 cm3605 cm355 cm3
- 20. Fill in the Blank
What is the SURFACE AREA of this composite figure?
16 is the diameter. Round the answer to the nearest tenth.
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