Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter B, Problem 12E
To determine
The volume of the cone.
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Algebra and Trigonometry (MindTap Course List)
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- Dimensions of a Can A cylindrical can has a volume of 40cm3 and is 10cm tall. What is its diameter? Hint: Use the volume formula listed on the inside front cover of this book.arrow_forwardAPPLICATIONS Dimensions of a Structure A storage bin for corn consists of a cylindrical section of wire mesh, surmounted by a conical tin roof, as shown in the figure. The height of the roof is one-third the height of the entire structure. If the total volume of the structure is 1400 ft3 and its radius is 10 ft, what is its height? Hint: Use the volume formulas listed on the inside front cover of this book.arrow_forwardVolume of a Rocket A rocket consists of a right circular cylinder of height 20 m surmounted by a cone whose height and diameter are equal radius is the same as that of the section. What should this radius be (rounded to two decimal places) if the total volume is to be 500/3m3?arrow_forward
- Dimensions of a Garden A homeowner wishes to fence in three adjoining garden plots, one for each of her children, as shown in the figure. If each plot is to be 80ft2 in area and she has 88ft of fencing material at hand, what dimensions should each plot have?arrow_forward63-70 Area of a Circular Sector. These exercises involve the formula for the area of a circular sector. Find the radius of each circle if the area of the sector is 12.arrow_forwardAn Ancient Chinese Problem The problem is taken from a Chinese mathematics textbook called Chui-clang suan-shu, or Nine Chapters m the Mathematical Art, which was written about 250 B.C. A 10-ft-long stem of bamboo is broken in such a way that its tip touches the ground 3 ft. from the base of the stem, as shown in the figure. What is the height of the break? [Hint: Use the Pythagorean Theorem.]arrow_forward
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The surface area and volume of cone, cylinder, prism and pyramid; Author: AtHome Tuition;https://www.youtube.com/watch?v=SlaQmaJCOt8;License: Standard YouTube License, CC-BY