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#### 32,850,000
The fuel efficiency of a rocket engine is 300 seconds specific impulse. What is its effective exhaust velocity in m/s? (Use \( v_e = g \times I_{sp} \), \( g = 9.8 \, \text{m/s}^2 \))
\( v_e = 9.8 \times 300 = 2,940 \, \text{m/s} \)
#### 2,940
A mission to Mars covers a distance of 225 million km. If a spacecraft travels at 25,000 m/s, how many days will the journey take?
Distance = 225 × 10⁹ m
Speed = 25,000 m/s
Time (seconds) = \( \frac{225 \times 10^9}{25,000} = 9 \times 10^6 \, \text{s} \)
Convert to days: \( \frac{9 \times 10^6}{86,400} \approx 104.17 \)
#### 104.17**Question:** A cylinder has a height equal to the diameter of its base. If the radius of the base is \( r \) units, what is the ratio of the volume of the cylinder to the volume of a sphere with radius \( r \)?