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cones cylinders sphere unit test

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Answered by GPT 3.5
A unit test for cones, cylinders, and spheres could include the following questions:

1. What is the formula for finding the volume of a cone?
a) V = πr²h
b) V = 1/3πr²h
c) V = 2πrh
d) V = 4/3πr³

2. What is the formula for finding the lateral area of a cylinder?
a) A = 2πrh
b) A = πr²h
c) A = 3πr²
d) A = 4πr²

3. What is the formula for finding the surface area of a sphere?
a) A = 2πr²
b) A = 4πr²
c) A = πr²
d) A = 3πr²

4. Given the radius of a cone as 5 cm and the height as 10 cm, what is the volume of the cone?
a) 100π cm³
b) 50π cm³
c) 150π cm³
d) 25π cm³

5. A cylinder has a radius of 6 cm and a height of 12 cm. What is the lateral area of the cylinder?
a) 144π cm²
b) 72π cm²
c) 432π cm²
d) 216π cm²

6. If the diameter of a sphere is 8 cm, what is its surface area?
a) 64π cm²
b) 32π cm²
c) 16π cm²
d) 8π cm²

7. A cone has a volume of 150π cm³ and a height of 5 cm. What is its radius?
a) 3 cm
b) 5 cm
c) 10 cm
d) 15 cm

8. The surface area of a sphere is 100π cm². What is its radius?
a) 2.82 cm
b) 5.64 cm
c) 10.47 cm
d) 15.92 cm

9. A cylinder has a lateral area of 120π cm² and a height of 8 cm. What is its radius?
a) 2 cm
b) 6 cm
c) 4 cm
d) 8 cm

10. The volume of a cone is 36π cm³ and the height is 9 cm. What is its radius?
a) 3 cm
b) 2 cm
c) 4 cm
d) 6 cm
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