91Ó°ÊÓ

You are about to sue your contractor who promised to install a water tank that holds 500 gallons of water. You know that 500 gallons is the capacity of a tank that holds 67 cubic feet. The cylindrical tank has a radius of 3 feet and a height of 2 feet 4 inches. Does the evidence indicate you can win the case against the contractor if it goes to court?

Two cylindrical cans of soup sell for the same price. One can has a diameter of 6 inches and a height of 5 inches. The other has a diameter of 5 inches and a height of 6 inches. Which can contains more soup and, therefore, is the better buy?

A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23 -foot ramp, to the nearest tenth of a degree, if its final height is 6 feet.

What general assumption did Euclid make about a point and a line in order to prove that the sum of the measures of the angles of a triangle is \(180^{\circ}\) ?

If you are given the lengths of the sides of a right triangle, describe how to find the sine of either acute angle.

In Exercises 49-50, express the required calculation in terms of \(\pi\) and then round to the nearest tenth. How much fencing is required to enclose a circular garden whose radius is 20 meters?

Explain the following analogy: In terms of formulas used to compute volume, a pyramid is to a rectangular solid just as a cone is to a cylinder.

Describe one similarity and one difference between the sine ratio and the cosine ratio in terms of the sides of a right triangle.

Explain why a cylinder is not a polyhedron.

What are similar triangles?