Find the lateral surface area of the cone generated by revolving the line segment 5x – 8y + 40 = 0, about the Y – axis from 5 < y < 10. Verify your answer with the geometric formula for the lateral surface area of the right circular cone. Also, find the tota surface area the cone thus formed.

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A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

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Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by…

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Q: Find the lateral​ (side) surface area of the cone generated by revolving the line segment ​y=2x/5…

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Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

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Q: Find the lateral surface area of the cone generated by revolving the line segment 5х — 8y + 40 %3 0,…

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A: x=4t y=7t

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A: Given curve, y=3x x = 0 and x = 4

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A: We need to find area.

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A: Obtain the lateral surface area as follows.

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A: y2=12x ⇒y=23x ⇒dydx=3x ⇒dydx2=3x2 ⇒dydx2=3x ⇒1+dydx2=1+3x ⇒1+dydx2=1+3x

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Q: y = x, 0 < x <7

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A: The formula for area of surface generated by the revolution of curve y=f(x) , a≤x≤b about x-axis.…

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A: Given that, the cone is generated by revolving the line segment  y = 53x,  0≤x≤4, about x-axis.