1. Use the graph of \(y = \sqrt[3]{x}\) to estimate the solution(s) to the following equations.
   1. \(\sqrt[3]{x} = 2\)
   2. \(\sqrt[3]{x} = \text-4.5\)
   3. \(\sqrt[3]{x} = 3.75\)

   

2. Use the meaning of cube roots to find exact solutions to all three equations.

Which are the solutions to the equation \(x^3=\text-125\)?

Find the solution(s) to each equation, or explain why there is no solution.

1. \(x^2+6=55\)
2. \(x^2+16=0\)
3. \(x^2-3.25=21.75\)

A solid has a volume of 6 cubic units and a surface area of 14 square units. The solid is dilated, and the image has surface area 224 square units. What is the volume of the image?

Suppose this two-dimensional figure is rotated 360 degrees around the vertical axis shown. Each small square on the grid represents 1 square inch. What is the volume of the three-dimensional figure?