Paraboloid

Written by Jerry Ratzlaff on . Posted in Solid Geometry

Surface Area no Base formulaparaboloid

\(A_{surface} = \left( \frac {\pi} {6} \right) \left( \frac {r} {h^2} \right) \left[ \left( r^2 + 4h^2 \right) ^{3/2} - r^3 \right] \)

Where:

\(A\) = area

\(\pi\) = Pi

\(h\) = height

\(r\) = radius

Surface Area with Base formula

\(A_{surface} = \left( \frac {\pi} {6} \right) \left( \frac {r} {h^2} \right) \left[ \left( r^2 + 4h^2 \right) ^{3/2} - r^3 \right] + \pi r^2 \)

Where:

\(A\) = area

\(\pi\) = Pi

\(h\) = height

\(r\) = radius

Volume formula

\(V= \frac {\pi} {2} hr^2 \)

Where:

\(V\) = volume

\(h\) = height

\(r\) = radius