(4) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of 6 cm/min. How quickly is the volume of the balloon increasing when the diameter is 50 cm

In terms of its radius , the volume of the balloon is

The diameter is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time :

The diameter increases at a rate of . When the diameter is , we have

or about 23,562 cc/min (where cc = cubic centimeters)

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

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