LESSON : Solids whose V=(mean B)h and Sphere

Instruction : Solve the following and provide figure (if possible).

1.1 Find the depth of a hopper to hold 15 bu. of grain, if it is to be built in the shape of the frustum of a square pyramid with the upper and lower bases measuring 7.5 and 4.5 ft. on a side, respectively. ( a bushel = 1.25 cu. ft.)

1.2 A railway embankment across a valley has the following dimensions: width at top, 20 ft.; width at base, 45 ft; height, 12 ft; length at top, 1020 yd.; length at base 970 yd. Find its volume.