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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Definitions:

Accounts Payable

Money owed by a business to its suppliers or vendors for goods and services purchased on credit.

Operating Activities

Activities that relate to the principal revenue-producing activities of an entity and other activities that are not investing or financing activities.

Accounts Receivable

Debts owed by clients to a company for products or services that have been provided but remain unpaid.

Indirect Method

A way of calculating cash flows from operating activities in the statement of cash flows by adjusting net income for changes in balance sheet items.