Find the volume of each square pyramid. Round to the nearest tenth if necessary.

See Problem 2.

Find the volume of each square pyramid, given its slant height. Round to the nearest tenth.

See Problem 3.

15. Chemistry In a chemistry lab you use a filter paper cone to filter a liquid. The diameter of the cone is 6.5 cm and its height is 6 cm. How much liquid will the cone hold when it is full?

16. Chemistry This cone has a filter that was being used to remove impurities from a solution but became clogged and stopped draining. The remaining solution is represented by the shaded region. How many cubic centimeters of the solution remain in the cone?

    

See Problem 4.

Find the volume of each cone in terms of π and also rounded as indicated.

17. nearest cubic foot
18. nearest cubic inch
19. nearest cubic meter

B Apply

20. Think About a Plan A cone with radius 1 fits snugly inside a square pyramid, which fits snugly inside a cube. What are the volumes of the three figures?
    • How can you draw a diagram of the situation?
    • What dimensions do the cone, pyramid, and cube have in common?
21. Reasoning Suppose the height of a pyramid is halved. How does this affect its volume? Explain.
22. Writing Without doing any calculations, explain how the volume of a cylinder with B = 5 π cm 2 b equals 5 , pi , cm squared  and h = 20 h equals 20  cm compares to the volume of a cone with the same base area and height.

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