Final answer:
To determine the radius of a cylinder with a given volume and height, the formula V = πr²h can be rearranged and solved for r. By substituting the known values into the rearranged formula and computing, we find the radius to be approximately 1.653 cm.
Step-by-step explanation:
Jessica was given the volume (V) and the height (h) of a cylinder and she solved for the radius (r). The formula for the volume of a cylinder is V = πr²h. Given that V = 43 and h = 5, the formula can be rearranged to solve for r:
Divide both sides of the equation by πh to isolate r²: r² = V / (πh)Substitute the given values into the equation: r² = 43 / (π * 5)Calculate r: r = √(43 / (π * 5)).To find the numerical value of r, use the approximation π ≈ 3.14159Therefore, r ≈ √(43 / (3.14159 * 5)) ≈ √(43 / 15.70795) ≈ √(2.735) ≈ 1.653 cm.
We cannot verify if Jessica solved the equation correctly without seeing her work, but by following these steps, the radius of the cylinder can be accurately determined.