Cone

If the segment of the line y = -3x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed.

What is the volume of the cone?

Result

V =  7.4

Solution:

h=4 r=43=1.33  V=13πr2h=7.4h = 4 \ \\ r = - \dfrac{ 4} { -3} = 1.33 \ \\ \ \\ V = \dfrac{1}{3} \pi r^2 h = 7.4



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For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

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