Cylinder b has a height of 4 inches and a volume of 36pi inches cubed. cylinder l has the same height as cylinder b but it’s radius is 2 times longer. the volume of l is (answer) times the volume of cylinder b

The volume for a cylinder is founding using area of the base x the height (V = Bh). The base is the circle with radius 6 cm, the "height" of the cylinder is the length of the shipping container. Area of the base is pi x radius squared (A = πr2).  

V = πr2 ⋅ h

Substituting what we know into the formula gives us:

8595.4 cm3 = pi ⋅ (6 cm)2 ⋅ h cm

8595.4 = pi ⋅ 36 ⋅ h               Divide both sides by 36pi

76.00 = h                             (I used 3.14159 for pi)

The length of the container is 76 cm.

The surface area of a cylinder is found using the lateral surface area (area of the sides) plus the area of the two bases (SA = 2pi⋅rh + 2pi⋅r2). The lateral surface area is found using the circumference of the base times the height. We already know the area of a base.  

SA = (2⋅pi⋅6⋅76) + (2⋅pi⋅36)

    = (2,865.130) + (226.194)

    = 3,091.325 cm2

Hope this helps!

Step-by-step explanation: