Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9−x, y=3x−3, and x=0 about the y-axis.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

What’s the volume of the triangular prism?

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.