This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the problems. 5. A sphere, a cone and a cylinder have equal radii. Their curved surface areas are equal. If the volume of the sphere is 1437 cm^3. (Give answers to 4 significant figures) a) Find the radius of the sphere. Step 1: The formula for the volume of a sphere is V_s = (4)/(3) r^3. We are given V_s = 1437 cm^3. 1437 = (4)/(3) r^3 Step 2: Solve for r^3. r^3 = 14