Cones cylinders and spheres, unit test

1 answer

1. What is the formula to calculate the volume of a cone?

a) V = (1/3)πr^2h
b) V = πr^2h
c) V = (4/3)πr^3
d) V = 2πrh

2. A cylinder has a radius of 5 cm and a height of 10 cm. What is the volume of the cylinder?

a) 50π cm^3
b) 100π cm^3
c) 150π cm^3
d) 200π cm^3

3. What is the formula to calculate the surface area of a sphere?

a) A = 4πr^2
b) A = 2πrh
c) A = (4/3)πr^3
d) A = πr^2h

4. A cone has a radius of 6 cm and a height of 8 cm. What is the volume of the cone?

a) 96π cm^3
b) 128π cm^3
c) 144π cm^3
d) 192π cm^3

5. Which of the following shapes does not have any edges?

a) Cone
b) Cylinder
c) Sphere
d) All of the above

6. A sphere has a radius of 4 cm. What is the surface area of the sphere?

a) 16π cm^2
b) 32π cm^2
c) 64π cm^2
d) 128π cm^2

7. Which of the following shapes has a curved surface?

a) Cylinder
b) Cone
c) Sphere
d) All of the above

8. What is the formula to calculate the lateral surface area of a cylinder?

a) A = 2πrh
b) A = 2πr^2
c) A = πr^2
d) A = 2πr

9. A cylinder has a radius of 3 cm and a height of 6 cm. What is the lateral surface area of the cylinder?

a) 18π cm^2
b) 36π cm^2
c) 54π cm^2
d) 72π cm^2

10. A cone has a radius of 8 cm and a slant height of 10 cm. What is the surface area of the cone?

a) 240π cm^2
b) 320π cm^2
c) 400π cm^2
d) 480π cm^2

Answers:
1. a) V = (1/3)πr^2h
2. b) 100π cm^3
3. a) A = 4πr^2
4. c) 144π cm^3
5. c) Sphere
6. c) 64π cm^2
7. d) All of the above
8. a) A = 2πrh
9. c) 54π cm^2
10. a) 240π cm^2