Rocket Science Simplified: Area and Volume Basics

SpaceX, led by Elon Musk, recently launched a new rocket with an innovative design. The engineers have to consider the surface area and volume of the rocket’s fuel tank to optimize performance and efficiency. The fuel tank, which is cylindrical in shape, has a hemispherical dome on both ends for structural integrity. This design ensures minimal material usage while maximizing the fuel storage capacity.

Word Problem

The cylindrical part of the fuel tank has a height of 12 meters and a diameter of 6 meters. Each hemispherical dome has the same diameter as the cylinder. The engineers need to calculate the total surface area and volume of the tank to assess how much material will be required to construct it and how much fuel it can store.

Question: What is the total surface area and the total volume of the fuel tank? Use π=3.14.

Options:

Total Surface Area (excluding the base of hemispheres connecting to the cylinder):
A) 282.74 m²
B) 312.08 m²
C) 339.12 m²
D) 375.36 m²

Total Volume:
A) 345.6 m³
B) 408.2 m³
C) 452.16 m³
D) 492.6 m³

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