A Spherical Party Balloon Is Being Inflated by Helium Pumped $V = \frac { 4 } { 3 } \pi r ^ { 3 }$

question 81

Multiple Choice

A spherical party balloon is being inflated by helium pumped in at a rate 3 cubic feet per minute. How fast is the radius growing at the instant when the radius has reached 1 foot Round your answer to the two decimal places.
The volume of a sphere of radius r is

$V = \frac { 4 } { 3 } \pi r ^ { 3 }$ .

• A)0.72 feet per minute
• B) 0.76 feet per minute
• C) 0.14 feet per minute
• D) 0.64 feet per minute
• E) 0.24 feet per minute

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Definitions:

Semistarvation Diet

A diet that provides insufficient caloric intake to maintain normal body functions, often leading to severe physical and mental health consequences.

Anorexia Nervosa

Anorexia Nervosa is an eating disorder characterized by an intense fear of gaining weight and a distorted body image, leading to severe restriction of food intake.

Dieting

The practice of eating and drinking in a regulated manner to achieve or maintain a controlled weight.

Food Intake

The amount of food consumed by an individual or organism, which can affect health and weight status.