How does the volume of a sphere compare to that of a cylinder with a height and radius equal to the radius of the sphere?
a. the sphere is the same volume as the cylinder
b. the sphere is the same volume as the cylinder minus a cone of equal base and height
c. the sphere is half the volume of the cylinder minus a cone of equal base and height
d. the sphere is twice the volume of the cylinder minus a cone of equal base and height

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.