Cones,Cylinders, & Spheres Unit test

1 answer

1. What is the formula for finding the volume of a cone?

A) V = πr²h
B) V = 1/3πr²h
C) V = πr³
D) V = 4/3πr³

2. What is the formula for finding the surface area of a cylinder?

A) A = 2πrh
B) A = 2πr²h
C) A = 2πr² + 2πrh
D) A = πr²h

3. What is the formula for finding the volume of a sphere?

A) V = 2/3πr³
B) V = 4/3πr³
C) V = 4πr²
D) V = πr²h

4. Which of the following is true about the relationship between the radius and height of a cone?

A) The radius is always greater than the height.
B) The radius is always equal to the height.
C) The radius is always smaller than the height.
D) There is no relationship between the radius and height.

5. The base of a cylinder has a radius of 5 cm and a height of 10 cm. What is the surface area of the cylinder?

A) 100π cm²
B) 150π cm²
C) 200π cm²
D) 250π cm²

6. A sphere has a radius of 8 cm. What is the volume of the sphere? (Round your answer to the nearest whole number)

A) 1072 cm³
B) 1344 cm³
C) 2016 cm³
D) 2688 cm³

7. True or False: The volume of a sphere is equal to two-thirds of its surface area.

8. True or False: A cone has one curved surface and one circular base.

9. The radius of a cone is 6 cm and its height is 10 cm. What is the volume of the cone? (Round your answer to the nearest whole number)

A) 226 cm³
B) 339 cm³
C) 452 cm³
D) 565 cm³

10. The radius of a sphere is doubled. How does this affect the volume of the sphere?

A) The volume is halved.
B) The volume is doubled.
C) The volume is multiplied by four.
D) The volume is multiplied by eight.