120in3
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Volume = 10*4*3 = 120 cubic units
Volume of a sphere = 4/3 pi R3= (4/3 pi) (10-2 cm)3= 4.1888 x 10-6 cm3 (rounded)
The formula for volume of a sphere is (4/3)(pi)r3, where r is the radius. The initial volume of the sphere is then (4/3)(pi)(1)3 and the final volume is (4/3)(pi)(10)3. (Remember that we are given diameters, and need to divide them by two to find the radii to plug into the equations.)The factor by which the volume changes is (Final Volume)/(Initial Volume), which is this case is[ (4/3)(pi)(10)3 ] / [ (4/3)(pi)(1)3 ](4/3)pi cancels out, leaving 103 / 13 = 1000.
The formulae ofthe sphere is 4/3r^3 (cubed) therfore 4/3*10^3 equals 4/3*1000 which equals 4000/3 = 133.33333
Volume of a sphere = 4/3 x pi x radius3; (4/3) x 3.1416 x (10 inches)3 = (4/3) x 3.1416 x 1,000 cubic inches = 4,188.8 cubic inches