Calculus 1 word problems. Analyze and determine the answer with showing your work.

5. [-/1 Points] DETAILS SCALCCC5 4.1.006. MY NOTES PRACTICE AN The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm/s) when the diameter is 40 mm? (Round your answer to two decimal places.) mm/s Need Help? Read It Submit Answer 6. [-/1 Points] DETAILS SCALCCC5 4.1.003. MY NOTES PRACTICE A Each side of a square is increasing at a rate of 8 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm? cm /s Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS SCALCCC5 4.1.005.MI. MY NOTES PRACTICE AN A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m /min. How fast is the height of the water increasing (in m/min)? m/min Need Help? Read It Master It Submit Answer 8. [-/1 Points] DETAILS SCALCCC5 4.1.007. MY NOTES PRACTICE AN The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm /min) is the surface area of the ball increasing when the radius is 7 cm? cm4/min Need Help? Read It