91Ó°ÊÓ

A basketball has a radius of approximately 4.75 inches. a. Compute the basketball’s surface area. b. Why would someone want to know this surface area?

United States coins are circles of varying sizes. Choose a quarter, dime, nickel, and penny. a. Use a tape measure (or ruler) to estimate the diameter of each coin in centimeters. b. Calculate the area of each coin to the nearest hundredth.

A can of soup is 3 inches in diameter and 5 inches high. How much soup can fit into the can?

The Bermuda Triangle is an imaginary triangular area in the Atlantic Ocean in which there have been many unexplained disappearances of boats and planes. Public interest was aroused by the publication of a popular and controversial book, The Bermuda Triangle, by Charles Berlitz in 1974\. The triangle starts at Miami, Florida, goes to San Juan, Puerto Rico (1038 miles), then to Bermuda \((965 \text { miles ) and hark to Miami ( } 104\) ? miles) a. What is the perimeter of this triangle? b. If you were on a plane that was averaging 600 miles per hour, how long would it take you to fly the perimeter of the Bermuda Triangle?

You need to polish your circular dining room table, which has a diameter of 7 feet. The label on the polish can claims coverage for 100 square feet, but you notice that the can is only about one-half full. Will you have enough polish to finish your table? Explain.

A can of soup is 3 inches in diameter and 5 inches in height. How much paper is needed to make a label for the soup can?

You are buying a ladder for your 30 -foot-tall house. For safety, you would always like to ensure that the base of the ladder be placed at least 8 feet from the base of the house. What is the shortest ladder you can buy in order to be able to reach the top of your house?

A standard basketball court is a rectangle with length 94 feet and width 50 feet. How many square feet of flooring would you need to purchase in order to replace the court?

Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches to the nearest hundredth.

Pythagorean triples are three positive integers that could be the lengths of three sides of a right triangle. For example, \(3,4,5\) is a Pythagorean triple since \(5^{2}=3^{2}+4^{2}\) a. Is \(5,12,13\) a Pythagorean triple? Why or why not? b. Is \(5,10,15\) a Pythagorean triple? Why or why not? c. Is \(1,1,2\) a Pythagorean triple? Why or why not? d. Name another Pythagorean triple. Explain.