The extremities of a diameter of a sphere lie on the positive y- and positive z-axes at distance 2 and 4, respectively. Show that the sphere passes through the origin and find the radius of the sphere.

Consider a sphere passing through the origin and the points (2,1,-1),(1,5,-4),(-2,4,-6) What is the radius of the sphere

Consider a sphere passing through the origin and the points (2,1,-1),(1,5,-4),(-2,4,-6). What is the radius of the sphere?

Find the equation of the sphere described on the joint of points A and B having position vectors 2hat i+6hat j-7hat k and -2hat i+4hat j-3hat k , respectively,as the diameter.Find the center and the radius of the sphere.

Three solid spheres of radii 3, 4 and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.

If the surface area of sphere is 256 pi cm^(2) . Then find the diameter of the sphere.

Metallic spheres of radii 6cm, 8cm and 10cm respectively are melted to form a solid sphere. Find the radius of the resulting sphere.

Find the equaiton of the sphere described on the joint of points A and B having position vectors 2hat(i)+6hat(j)-7hat(k) and -2hat(i)+4hat(j)-3hat(k) , respectively, as the diameter. Find the centre and the radius of the sphere.