17 May '17 13:57>
assuming that a DNA is a perfect cylinder and the nucleus is a perfect sphere. Prove mathematically that that DNA can fit into a nucleus.
Originally posted by wormerSuppose a cylinder of radius a and length 2h just fits inside a sphere of radius r. The cylinder touches the sphere to form two circles of radius a with formulae x^2 + y^2 = a^2, z = +/- h. So we can use Pythagoras' theorem to relate a, h and r. Imagine the triangle formed by the origin, the point h on the z axis and a point on the circle of contact. We have that:
assuming that a DNA is a perfect cylinder and the nucleus is a perfect sphere. Prove mathematically that that DNA can fit into a nucleus.