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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]3 years ago
4 0
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) = <em>3053.63 in³</em>

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

    V₂ = π(9.03 in)²(12 in) = <em>3074.02 in³</em>

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

  <em> d = 20.39 in³</em>
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