Question

a canned drink will be made using 40 in2 of aluminum. let r be the radius of the can and let h be the height. define a function in terms of r that can represent the volume of the can

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

V(r)= r (20 - πr²)

Step-by-step explanation:

surface area = 40

therefore

40 = 2πr² + 2πrh

20 = πr² + πrh

20 - πr² = πrh

h = (20 - πr²) / πr

v = πr²h

V(r) = πr² ((20 - πr²) / πr)

V(r) = r (20 - πr²)