A solid metal ball has its centre at and diameter .

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

A solid metal ball has its centre at

C(3, -2, 1)

and diameter

10\text{ cm}

. (i) Write the Cartesian equation of the surface of the ball. (ii) Verify, by direct calculation, whether the point

P(7, 1, 1)

lies inside, on, or outside the surface. (iii) Find the distance of the point

Q(0, -2, 1)

from the centre

C

and state the same relation (inside/on/outside) for

Q