Jerry needs to buy nails and screws for the construction site. nails cost $2.75 per pound and screws cost $3.25 per pound. if he only has $500 to spend on nails and screws, which inequality represents the situation where he buys x pounds of nails and y pounds of screws?
a) 3.25x + 2.75y ≤ 500
b) 3.25x + 2.75y ≥ 500
c) 2.75x + 3.25y ≤ 500
d) 2.75x + 3.25y ≥ 500

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)