Suppose b > a > 0.
Consider a sphere of radius b, and a circular cylinder of radius a, both centered at the origin. Consider the solid ring formed by all the points which are both inside the sphere and outside the cylinder. Imagine boring a hole with a cylindrical drill, and punching it all the way through.
(a) Find the height h of the ring. You should express h in terms of a and b. Please accompany with a labeled sketch.
(b) Find the volume of the ring, in terms of a and b.
(c) Express the volume in terms of the height h of the ring only.

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.

Side xy of triangle xyz is extended to point w, creating a linear pair with ∠wyz and ∠xyz. measure of an exterior angle what is the value of x? 64 80 100 180