Mathematics, 21.07.2019 21:50 evan1v1123
Awedge is cut out of a circular cylinder of radius 10 by two planes. one plane is perpendicular to the axis of the cylinder. the other intersects the first at an angle of 30° along a diameter of the cylinder. find the volume v of the wedge, taking rectangular cross-sections to be parallel to the line of intersection of the two planes, which is the x-axis. (let r = 10.)
Answers: 1
![V= \int\limits^{10}_{-10} {A(x)} \, dx \\ \\ = \int\limits^{10}_{-10} {\frac{100-x^2}{2\sqrt{3}}} \, dx =2\int\limits^{10}_{0} {\frac{100-x^2}{2\sqrt{3}}} \, dx \\ \\ =\int\limits^{10}_{0} {\frac{100-x^2}{\sqrt{3}}} \, dx=\frac{1}{\sqrt{3}}\left[100x-\frac{x^3}{3}\right]^{10}_0 \\ \\ =\frac{1}{\sqrt{3}}\left[100(10)-\frac{(10)^3}{3}\right]=\frac{1}{\sqrt{3}}\left[1000-\frac{1000}{3}\right] \\ \\ =\frac{1}{\sqrt{3}}\left[\frac{2000}{3}\right]=\frac{2000}{3\sqrt{3}}](/tpl/images/0117/0903/138f3.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:00
Aflower has 26 chromosomes. to create a new flower, how many chromosomes would a sperm cell have? what is this process called? part 2: within a flower cell that has 26 chromosomes, how many chromosomes would a cell that is created within the stem of a flower as it grows, have? what is this process called?
Answers: 1
Mathematics, 21.06.2019 21:10
The table below shows the approximate height of an object x seconds after the object was dropped. the function h(x)= -16x^2 +100 models the data in the table. for which value of x would this model make it the least sense to use? a. -2.75 b. 0.25 c. 1.75 d. 2.25
Answers: 2
You know the right answer?
Awedge is cut out of a circular cylinder of radius 10 by two planes. one plane is perpendicular to t...
Questions
Mathematics, 12.10.2019 01:30
Mathematics, 12.10.2019 01:30
Mathematics, 12.10.2019 01:30
Social Studies, 12.10.2019 01:30
Geography, 12.10.2019 01:30
Biology, 12.10.2019 01:30
Mathematics, 12.10.2019 01:30
Mathematics, 12.10.2019 01:30
Mathematics, 12.10.2019 01:30
History, 12.10.2019 01:30
