Question

The radius of a cylinder is increased from 9 to 9.03 inches. if the height remains constrant at 12 inches. Estimate the change in volume

Answer 1

1. Calculate for the volume of the original cylinder using the equation,
      V = πr²h

where V is the volume, r is the radius, and h is the height

Substituting the known values,
   V₁ = π(9 in)²(12 in) = 3053.63 in³

2. Do the same for the cylinder with the increased radius,

    V₂ = π(9.03 in)²(12 in) = 3074.02 in³

3. Lastly, determine the difference between the two volumes through the equation,

    d = V₂ - V₁

Substituting the known values,
  d = 3074.02 in³ - 3053.63 in³

   d = 20.39 in³