### Description

The volumes of geometric shapes can be calculated from key measurements. This can be used to determine the size of a variety of lesions such as tumors or infarcts.

 Shape Formula Variables cube a^3 a = length of side box a * b * c a, b, c = lengths of sides cylinder π * (R^2) * h R = radius of base h = height cone 1/3 * π * (R^2) * h R = radius of base h = height truncated cone (frustrum) 1/3 * π *h *((R1^2) + (R2^2) + (R1*R2)) R1 = radius of base R2 = radius at top h = distance between planes pyramid with square base 1/3 * (a^2) * h a = length of base h = height truncated pyramid with square base (frustrum) 1/3 * h * ((a^2) + (b^2) + (a * b)) a = side at base b = side at top h = distance between planes sphere 4/3 * π * (R^3) R = radius zone and segment of sphere with 1 base 1/6 * π * ((3* (r^2)) + (h^2)) r = radius at base h = distance to top zone and segment of sphere with 2 bases 1/6 * π * h * ((3* (r1^2)) + (3* (r2^2)) + (h^2)) r1 = radius at base r2 = radius at top h = distance between planes ellipsoid 4/3 * π * a * b * c a, b, c = lengths of semiaxes torus 2 * π * R * (r^2) R = radius from center of space enclosed by inner ring to center of cross-section; r = radius of cross-section

where:

• The length of a semiaxis for an ellipsoid is half of the measurement along the axis. If the entire axial measurement is used, then the volume = 1/6 * π * a * b * c