Explanation Formula used: Frustum of a cone: Lateral surface area is L = π s ( r 1 + r 2 ) or 1 2 π s ( d 1 + d 2 ) . Area of the circle is A = π r 2 . Total surface area is given by T = L + A . Calculation: Observe from the figure that the metal pail is in the shape of the frustum. So, find the total surface area of the frustum to determine the number of square needed for the side and bottom of the pail. Now lateral surface area of the cone as follows. L = 1 2 π s ( d 1 + d 2 ) = 1 2 π ( 17 cm ) ( 10 cm + 15 cm ) = 212.5 π cm 2 Find the area of the bottom of the pail as follows. From the figure it is observed that the bottom of the pail is in the shape of the circle

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter 9.4, Problem 2DE

To determine

The area of the metal sheet needed to make the pail.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.4, Problem 1DE

Chapter 9.4, Problem 3DE

Students have asked these similar questions

To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1000s) Reasonable Amount ofItemized Deductions ($1000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…

Answer questions 8.1.10, 8.1.11and 8.1.12 respectively

7.2.10 Researchers in the Hopkins Forest also count the number of maple trees (genus acer) in plots throughout the forest. The following is a histogram of the number of live maples in 1002 plots sampled over the past 20 years. The average number of maples per plot was 19.86 trees with a standard deviation of 23.65 trees. a. If we took the mean of a sample of eight plots, what would be the standard error of the mean? b. Using the central limit theorem, what is the probability that the mean of the eight would be within 1 standard error of the mean? c. Why might you think that the probability that you calculated in (b) might not be very accurate? 2. A normal population has mean 100 and variance 25. How large must the random sample be if you want the standard error of the sample average to be 1.5?

Chapter 9 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

Ch. 9.1 - What is the perimeter of a regular hexagon with...Ch. 9.1 - Find the area:Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Prob. 5AE Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The area of the metal sheet needed to make the pail.

Solution Summary: The author calculates the area of the metal sheet needed to make the pail.

Concept explainers

Videos

The area of the metal sheet needed to make the pail.

Want to see the full answer?

Chapter 9 Solutions