The area of a trapezium is 450 cm2 and the distance between its parallel sides is 20 cm. If one of the parallel sides is of length 24 cm, find the length of the other side.
The diameter of a solid metallic right circular cylinder is equal to its height. After cutting out the largest possible solid sphere ^@S^@ from the cylinder, the remaining material is recast to form a solid sphere ^@S_1^@. What is the ratio of the radius of the sphere ^@S^@ to that of sphere ^@S_1 ?^@