Then the volume of the smaller cylinder is π × 22 × h = 4πh cm 3 and the volume of the larger cylinder is π ×42 × 2h = 32πh cm 3. The volumes of the cylinders will have to add up to the volume of the cube, so. 4πh + 32πh = ⇒ 36πh = ⇒ h = 93 729729 36π = 81 4π. Substituting into the expression for the volume of the smaller.. Step 1/12 1. We know that the cross-sectional area of cylinder A is 18 cm², and the cross-sectional area of cylinder B is 10 cm². Step 2/12 2. Since the cylinders are mathematically similar, the ratio of their cross-sectional areas is equal to the square of the ratio of their corresponding linear dimensions (e.g., radii or heights).
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A and B are two cylinders that are mathematically similar. The area of the cross-section of cylinder A is 18cm^2 10 cm Work out the volume of cylinder B.. VIDEO ANSWER: The document doesn't give us any problems to solve, but it does show where the formulas for the volume of four different shapes come from. The cylinder and volume are the first one. In general, the area of a base is times the height.
