Find the volume of the wedge cut from the first octant by the cylinder z=20-5y2 and the plane x+y= 2. The volume is (Type an integer or a simplified fraction.)

Find the surface area of the box if l=22, w=4, and h=10. h

n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 2. show all steps

Lompute the Volume of the region between the two Clindes.