What is the maximum capacity of a cylinder that has a
radius of 6 inches. If the volume of the bucket is 1,356.48 ins, what is the height of the
cylinder.

Height of the cylinder is 12 inches

Step-by-step explanation:

Volume of the cylinder = πr²h

⇒ 3.14 × 6² × h = 1356.48

⇒ h = 1356.48/3.14 × 36

       = 1356.48/113.04 = 12 in

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.