This is calc2 on the topic of Using the Definite Integral

Step 1: sketch the 3-dimensional solid. Step 2: sketch a slice of the solid. Step 3: use a right triangle inside the slice to either set up a ratio or to apply Pythagorean theorem. Step 4: set up an integral for the volume. You are not required to evaluate the integral. Here are the quiz problems. i) Set up the integral that represents volume of a cone that is a meter tall and has base diameter b meter. a, b are constants. ii) Set up the integral that represents volume of a pyramid that has height a and a square base with side length b. a, b are constants. iii) Set up the integral that represents volume of a 3-dimensional sphere with radius r. r is a constant