Two cones have a radius of 2 cm. the height of one cone is 8 cm. the other cone is that height. which of these statements is not true? math item stem image the volume of the smaller cone is (π • 2 • 2 • 8) cm3. the volume of the smaller cone is (4π • 2) cm3. the volume of the smaller cone is π cm3. the volume of the smaller cone cannot be determined because its height is unknown.

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.