37. A frustum of a cone is the part that remains when the top of the cone is cut off by a plane parallel to the base.

    

    Frustum of cone

    1. Explain how to use the formula for the volume of a cone to find the volume of a frustum of a cone.
    2. Containers A popcorn container 9 in. tall is the frustum of a cone. Its small radius is 4.5 in. and its large radius is 6 in. What is its volume?

38. A disk has radius 10 m. A 90 ° 90 degrees  sector is cut away, and a cone is formed.

    

    

    1. What is the circumference of the base of the cone?
    2. What is the area of the base of the cone?
    3. What is the volume of the cone? (Hint: Use the slant height and the radius of the base to find the height.)

Standardized Test Prep

SAT/ACT

39. A cone has diameter 8 in. and height 14 in. A rectangular prism is 6 in. by 4 in. by 10 in. A square pyramid has base edge 8 in. and height 12 in. What are the volumes of the three figures in order from least to greatest?
    1. cone, prism, pyramid
    2. prism, cone, pyramid
    3. pyramid, cone, prism
    4. prism, pyramid, cone
40. One row of a truth table lists p as true and q as false. Which of the following statements is true?
    6. p → q p rightwards arrow q
    7. p ∨ q p or q
    8. p ∧ q p and , q
    9. ~ p tilde p
41. If a polyhedron has 8 vertices and 12 edges, how many faces does it have?
    1. 4
    2. 6
    3. 12
    4. 24

Extended Response

42. The point of concurrency of the three altitudes of a triangle lies outside the triangle. Where are its circumcenter, incenter, and centroid located in relation to the triangle? Draw diagrams to support your answers.

Mixed Review

See Lesson 11-4.

43. A triangular prism has height 30 cm. Its base is a right triangle with legs 10 cm and 24 cm. What is the volume of the prism?

See Lesson 5-7.

44. Given Δ J A C cap delta j eh c  and Δ K I N , cap delta k i n comma  you know J A ¯ ≅ K I ¯ , A C ¯ ≅ I N ¯ , j eh bar , approximately equal to , k i bar , comma , eh c bar , approximately equal to , i n bar , comma  and m ∠ A > m ∠ I . m angle , eh greater than , m angle i .  What can you conclude about JC and KN?

Get Ready! To prepare for Lesson 11-6, do Exercises 45 and 46.

See Lesson 1-8.

45. Find the area of a circle with diameter 3 in. to the nearest tenth.
46. Find the circumference of a circle with radius 2 cm to the nearest centimeter.

Table of Contents