# : Hence, find the area of the specified region using integration. Q4 The base of a solid is the region between the curve, [5] y2

: Hence, find the area of the specified region using integration.
Q4
The base of a solid is the region between the curve,
[5]
y2 (p + x) = x²(3p – x), 0 < x < 3p,y2 0 and the X- axis. If the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the given curve, find the volume of the solid obtained. Q5 Find the lateral surface area of the cone generated by revolving the line segment [5] 5x 8y + 40 = 0, about the Y - axis from 5 < y < 10. Venfy your answer with the geometric formula for the lateral surface area of the right circular cone. Also, find the total surface area the cone thus formed.

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