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A satellite launch rocket has a cylindrical fuel tank. the fuel tank can hold v cubic meters of fuel. if the tank measures d meters across, what is the height of the tank in meters? a. 2 v / π d² b. 4 v / d² c. v π / d² d. 4 v / π d² e. 8 v / π d²
A satellite launch rocket has a cylindrical fuel tank. the fuel tank can hold v cubic meters of fuel. if the tank measures d meters across, what is the height of the tank in meters? a. 2 v / π d² b. 4 v / d² c. v π / d² d. 4 v / π d² e. 8 v / π d²
Final answer:The formula to find the height of acylindricalvolumefuel tank is 4V / (πd²), where V is the volume of the tank and d its diameter.Therefore, the answer is d. 4v / πd².Explanation:The subject of this problem is geometrical and involves the volume of a cylinder. The formula to calculate the volume of a cylinder is V = πr²h where V is volume, π is amathematical constant, r is the radius of the base of the cylinder, and h is its height.To calculate the height of the cylindrical tank, you need to isolate h in the formula. Note that theradiusis half the diameter, so r = d/2. Plugging this into the formula, we get V = π(d/2)²h = πdh²/4. Solving for h (height), we obtain h = 4V / (πd²).Therefore, the answer is d. 4v / πd².Learn more aboutCylindrical volumebrainly.com/question/35706939#SPJ11...