The path of a swooping bird is modeled by the hyperbola 4y^2− 1,225x^2 = 4,900, where x is the horizontal distance measured from the point where the bird is closest to the ground and y represents the height of the bird from the ground. Hint: Assume that the origin lies at ground level. The bird is closest to the ground when its height is meters from the ground.

Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. the vase is 0.25 meters in length, width, and height. he bought 25 kg of sand. assume the density of dry sand is 1,602 kgm3. what is the volume of the sand that zed purchased? the volume of the sand is approximately m3. enter your answer as the number that correctly fills in the blank in the previous sentence. if necessary, round your answer to six decimal places, like so: 42.536475