Write a Differential Formula That Estimates the Given Change in Volume

question 102

Multiple Choice

Write a differential formula that estimates the given change in volume or surface area.
-The change in the volume $V = \pi r ^ { 2 } h$ of a right circular cylinder when the height changes from $h _ { 0 }$ to $h _ { 0 } +$ dh and $^ { 2 }$ the radius does not change

• A) \(d V = \pi r ^ { 2 } h 0 d h\)
• B) \(\mathrm { dV } = \pi \mathrm { r } _ { 0 } ^ { 2 } \mathrm { dr }\)
• C) \(\mathrm { dV } = 2 \pi \mathrm { rh } 0 \mathrm { dh }\)
• D) \(\mathrm { dV } = \pi \mathrm { r } ^ { 2 } \mathrm { dh }\)

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