y = 1/3*pi*h^2*(3*r-h)
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A sphere with a radius of 7 inches has a volume of 1,436.76 cubic inches.
A sphere with a diameter of 6cm has a volume of 113.1 cm3
For the question to have any meaning, the volume should be in cubic metres, not metres. The surface area of a sphere of radius r is 4*pi*r*r and its volume is 4/3*pi*r*r*r. Use the second equation to find the value of the radius, r and then use that value in the first equation to calculate the surface area.
The volume of a sphere is given by the formula V =⁴⁄ ₃πr3The volume of a sphere with radius 7cm = ⁴⁄ ₃π73 = 1436.76 cm3 (to 2 dps)
Volume = 4/3*pi*radius3 = 900 cubic inches By making the radius the subject of the above equation gives the sphere a radius of 5.989418137 inches. Surface area = 4*pi*5.9894181372 = 450.7950449 square inches