Mathematics, 05.03.2020 05:28 simegustachocolate
Find the lateral (side) surface area of the cone generated by revolving the line segment y equals one fourth x , 0 less than or equals x less than or equals 7, about the x-axis. The lateral surface area of the cone generated by revolving the line segment y equals one fourth x , 0 less than or equals x less than or equals 7, about the x-axis is nothing. (Type an exact answer, using pi as needed.)
Answers: 2
![\int\limits^b_a {2\pi x\sqrt{1 + (\frac{dx}{dy})^2 } } \, dx \\\\= \int\limits^{\frac{7}{4}}_0 {2\pi (4y)\sqrt{1 + (4)^2 } } \, dx \\\\= 32\pi \int\limits^{\frac{7}{4}}_0 { y } \, dx \\\\= 32\pi [\frac{y^2}{2}]|^\frac{7}{4}_0](/tpl/images/0534/1878/a894c.png)
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Find the lateral (side) surface area of the cone generated by revolving the line segment y equals on...
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