Cone a has a radius of 12 inches and cone b has a radius of 30 inches. if the cones are similar and the volume of cone a is 48 ft^2, find the volume of cone b.

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

                                 = 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

f(x) is   are being squared

g(x) is   increasing by 2

h(x) is adding .25 each time

k(x) is taking the square root

f(x) and k(x) are exponential functions