The volume of a sphere can be found using the formula \( V=4 / 3\left(\pi r^{3}\right) \). Find \( V \) if \( r=2 \) feet. Use 3.14 for \( \pi \). Round your answer to the nearest hundredth.

To find the volume of the sphere, we can substitute \( r = 2 \) feet into the formula \( V = \frac{4}{3} \pi r^{3} \). Using \( \pi \approx 3.14 \): \[ V = \frac{4}{3} \times 3.14 \times (2)^{3} = \frac{4}{3} \times 3.14 \times 8 = \frac{4 \times 3.14 \times 8}{3} = \frac{100.48}{3} \approx 33.49 \text{ cubic feet}. \] So, the volume \( V \) is approximately \( 33.49 \) cubic feet when rounded to the nearest hundredth. Now you’ve got a fabulous sphere! The charm of spheres stretches back to ancient civilizations; the Greeks admired them for their perfect symmetry and shape. Notably, Aristotle in the 4th century BC argued that the sphere represented the ideal form in nature, appearing in everything from planets to bubbles. This philosophical appreciation demonstrates how math and aesthetics have long been intertwined! Wielding the sphere's volume formula can be handy in countless real-world applications. For instance, if you’re a baker crafting cake balls, knowing the volume helps in scaling ingredients to achieve that delectable treat at the perfect size. Similarly, architects might use sphere calculations when designing unique dome structures. It just goes to show that math is not just theory but also a tasty treat in everyday life!