As the number of seconds elapsed since Jessica began inflati

As the number of seconds elapsed since Jessica began inflating the ball increases from 4 to 4.7 seconds, what is the change in the volume of the ball (in cubic centimeters)? 2029.5796 cubic centimeters As the number of seconds elapsed since Jessica began inflating the ball increases from 5 to 5.7 seconds, what is the change in the volume of the ball (in cubic centimeters)? 3067.7368 cubic centimeters

Solution

Volume =( 4/3)r^3

Change in volume = dv/St = 4r^2(dr/dt)

dr/dt = 2.2

Hence change in volume = 4(4.7^2-4^2)*2.2

=168.28

F) change in volume = 4(5.7^2-5^2)*2.2

=206.96