Form 15: Composite Volume & Mixed Geometry Challenge

Questions

1. MultiChoice

   A cylinder (r=3 cm, h=5 cm) has a cone (r=3 cm, h=4 cm) attached to its top. What is the total volume? (Use pi = 3.14)

2. MultiChoice

   A solid object consists of a cylinder (r=2 cm, h=6 cm) capped with a hemisphere (r=2 cm). Total volume? (Use pi = 3.14)

3. MultiChoice

   A cone (r=4 cm, h=10 cm) is carved out of a cylinder (r=4 cm, h=10 cm). Find the remaining volume. (Use pi = 3.14)

4. MultiChoice

   Which object has a larger volume: a cylinder with r=5 cm, h=8 cm OR a sphere with r=3 cm?

5. MultiChoice

   Combine a hemisphere (r=6 cm) and a cone (r=6 cm, h=8 cm) attached at the base. What is the total volume? (Use pi = 3.14)

6. MultiChoice

   Two identical spheres each have a radius of 3 cm. What is their combined volume? (Use pi = 3.14)

7. MultiChoice

   A cylinder and cone both have r=3 cm and h=10 cm. Find the difference in their volumes. (Use pi = 3.14)

8. MultiChoice

   An ice cream cone consists of a cone (r=3 cm, h=9 cm) topped with a half-sphere scoop (r=3 cm). Total volume? (Use pi = 3.14)

9. MultiChoice

   How much larger is the volume of a cylinder (r=10 cm, h=5 cm) than a sphere (r=5 cm)? (Use pi = 3.14)

10. MultiChoice

    A pill capsule has a cylinder body (r=3 cm, h=10 cm) and two hemisphere end caps (r=3 cm). Total volume? (Use pi = 3.14)

11. MultiChoice

    Compare a cylinder with r=4 cm, h=6 cm and a sphere with r=4 cm. How much greater is the cylinder volume? (Use pi = 3.14)

12. MultiChoice

    A farm silo is built with a cylinder (r=3 cm, h=10 cm) and a hemispherical dome roof (r=3 cm). Total volume? (Use pi = 3.14)