Solve the Problem $2.64 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$

question 299

Multiple Choice

Solve the problem.
-The radius r and height h of a cylinder are changing with time. At the instant in question, r = 2 cm, h = 6 cm, dr/dt = 0.03 cm/sec and dh/dt = -0.03 cm/sec. At what rate is the cylinder's volume changing at that instant?

• A) \(2.64 \mathrm {~cm} ^ { 3 } / \mathrm { sec }\)
• B) \(0.75 \mathrm {~cm} ^ { 3 } / \mathrm { sec }\)
• C) \(0.94 \mathrm {~cm} ^ { 3 } / \mathrm { sec }\)
• D) \(1.88 \mathrm {~cm} ^ { 3 } / \mathrm { sec }\)

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