According to the meaning of the question, A completes 5x per hour and B completes 4x per hour, so an equation needs to be made.

(5x)×6=(4x)×6+96

Solve equation X= 16

So if A completes 5× 16=80 pieces per hour, then 480 pieces will be completed in 6 hours.

This batch has 480×2=960 parts.

A: There are 960 parts in this shipment.

2. Solution: The volume of conical steel block is: bottom area× height /3 = 60× π× 5 2× 1/3 = 500 π.

The volume of a cylinder is base area × height = π× 10 2× 75 = 7500 π.

7500π-500π=7000π

The bottom area of the cylinder is π× 10 2 = 100 π.

So the original water depth of the cylinder is 7000π/ 100=70cm.

3. Let the cone and the height of the cone be hcm.

π×2^2h- π×2^/3=50.24

To solve this equation: h=6.

The lateral area of the cylinder is s = π× 2 2h = 24 π square centimeters.

4. Solution: The volume formula of the cone is: bottom area × height /3.

If the short side of the rectangle is taken as the axis, the volume is π× 6 2× 3× 1/3 = 36 π.

If the long side of a rectangle is taken as the axis, the volume is π× 3 2× 6× 1/3 = 18π.

Therefore, the maximum cone is formed by rotating the right-angled side as the axis, and the volume of the cone is 36π.