Questions: The instructions provided do not include a specific question to be extracted from the given numbers (7 m, 3 m, 15 m). Without further context or a question, it's impossible to provide a relevant output related to a question.

The instructions provided do not include a specific question to be extracted from the given numbers (7 m, 3 m, 15 m). Without further context or a question, it's impossible to provide a relevant output related to a question.
Transcript text: The instructions provided do not include a specific question to be extracted from the given numbers (7 m, 3 m, 15 m). Without further context or a question, it's impossible to provide a relevant output related to a question.
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Solution

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Solution Steps

Step 1: Identify the shapes and given dimensions
  • The first shape is a cylinder with a height of 7 meters and a radius of 3 meters.
  • The second shape is a hemisphere with a radius of 7.5 meters.
Step 2: Calculate the volume of the cylinder

The formula for the volume of a cylinder is: \[ V = \pi r^2 h \] Substitute the given values: \[ V = \pi (3)^2 (7) \] \[ V = \pi (9) (7) \] \[ V = 63\pi \] \[ V \approx 63 \times 3.14159 \] \[ V \approx 197.92 \, \text{m}^3 \]

Step 3: Calculate the volume of the hemisphere

The formula for the volume of a hemisphere is: \[ V = \frac{2}{3} \pi r^3 \] Substitute the given values: \[ V = \frac{2}{3} \pi (7.5)^3 \] \[ V = \frac{2}{3} \pi (421.875) \] \[ V = \frac{843.75}{3} \pi \] \[ V = 281.25\pi \] \[ V \approx 281.25 \times 3.14159 \] \[ V \approx 884.19 \, \text{m}^3 \]

Final Answer

  • Volume of the cylinder: \( \approx 197.92 \, \text{m}^3 \)
  • Volume of the hemisphere: \( \approx 884.19 \, \text{m}^3 \)
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