Directions: Read the information carefully and answer the following questions.…

Directions: Read the information carefully and answer the following questions.
A cube of side P cm is placed inside the sphere of radius R cm in such a way that sphere touches all the vertex of the cube. A cone of radius √3R cm and height H cm has volume 4950 cm3.

Find the ratio of the total surface area of the sphere to the lateral surface area of the cube.