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

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