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

Question

quester [9]

3 years ago

5

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

n volume

Mathematics

1 answer:

valina [46] · Answer 1 · 2021-12-11T18:24:59+03:00

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