Volumes of solids Choose the general slicing method, the disk / washer method, or the shell method to answer the following questions . 34. The region bounded by the graphs of y = 6 x and y = x 2 + 5 is revolved about the line y = −1 and the line x = −1. Find the volumes of the resulting solids. Which one is greater?
Volumes of solids Choose the general slicing method, the disk / washer method, or the shell method to answer the following questions . 34. The region bounded by the graphs of y = 6 x and y = x 2 + 5 is revolved about the line y = −1 and the line x = −1. Find the volumes of the resulting solids. Which one is greater?
Solution Summary: The author calculates the volume of the solid when the region R is revolving about the lines y=-1 and
Volumes of solidsChoose the general slicing method, the disk/washer method, or the shell method to answer the following questions.
34. The region bounded by the graphs of y = 6x and y = x2 + 5 is revolved about the line y = −1 and the line x = −1. Find the volumes of the resulting solids. Which one is greater?
V =
y = x + 1, y = 0, x=0, x= 5;
Sketch the region.
y
7
6
5
Ram a farmer, managed to grow shaped-watermelons inside glass cases ofdifferent shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,cylindrical along with the normal spherical shaped watermelons. Thickness of the skin was same for all the shapes. Each of the glass cases was so designed that the total volume and the weight of the all the water-melons would be equal irrespective of the shape.
A customer wants to buy water-melon for making juice, for which the skin of the watermelon has to be peeled off, and therefore is a waste. Which shape should the customerbuy?
onsider the tetrahedron (a 4-sided pyramid whose faces are all triangles) with vertices atA = (1, 0, 0), B = (0, 2, 0), C = (0, 1, 3), and D = (2, 2, 0). Calculate the surface area and the volumeof the tetrahedron.(Hint: You may use the fact that the volume a tetrahedron is exactly one-sixth ofthe volume of the parallelepiped generated by the same vectors.)
Surface Area = Volume =
Chapter 6 Solutions
Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package
Precalculus Enhanced with Graphing Utilities (7th Edition)
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