Carl is filling flower pots with soil. Each flower pot is a cylinder with radius 7in and height 20in. His bag of potting soil contains 12,000 cubic inches of soil. How many flower pots will he be able to COMPLETELY FILL with his one bag of soil? A: 1 flower pot
B: 2 flower pots
C: 3 flower pots
D: 4 flower pots

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.

For the following equations, find the ratio of a to b. be sure to show all of your work. a. 3a = 6b b. 15a = 5b

(25 ! ) what does it mean for an equation to have no solution or infinitely many solutions?