It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t. This means that: at a certain time = t seconds the diameter of the sphere will be equal to t + 3
Based on this: at t = 3 seconds diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule: volume of sphere = (4/3) x pi x (radius)^3 Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows: volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3
