A Cylindrical Bucket Is Being Filled with Paint at a Rate

question 65

Multiple Choice

A cylindrical bucket is being filled with paint at a rate of $4 \frac { \mathrm { cm } ^ { 3 } } { \min }$ . How fast is the level rising when the bucket starts to overflow The bucket has a height of 40 cm and a radius of 10 cm. Round your answer to the three decimal places.

• A) \(0.801 \frac { \mathrm { cm } } { \mathrm { min } }\)
• B) \(0.407 \frac { \mathrm { cm } } { \mathrm { min } }\)
• C) \(0.210 \frac { \mathrm { cm } } { \mathrm { min } }\)
• D) \(0.013 \frac { \mathrm { cm } } { \mathrm { min } }\)
• E) \(0.998 \frac { \mathrm { cm } } { \mathrm { min } }\)

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