Ingram Delgado
07/26/2023 · Primary School
The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the volume changing when the radius is 12 centimeters? Note: The volume of a sphere is given by \( V=(4 / 3) \pi r^{3} \). Rate of change of volume \( =576 \pi \)
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The rate of change of volume when the radius is 12 centimeters is approximately \( 7238.23 \, \text{cm}^{3}/\text{min} \).
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