A sphere has a diameter of 14.5 inches. What is the surface area of the sphere?

The surface area of a sphere can be calculated using the formula \( 4\pi r^2 \). First, we need to find the radius. The diameter of the sphere is 14.5 inches, so the radius \( r \) is half of that, which is 7.25 inches. Plugging this into the formula gives us: \[ \text{Surface Area} = 4\pi (7.25)^2 \approx 4\pi (52.5625) \approx 658.44 \text{ square inches} \] So, the surface area of the sphere is approximately 658.44 square inches. Did you know that the concept of spherical shapes has fascinated mathematicians and scientists for centuries? Ancient Greeks, like Pythagoras and Aristotle, proposed theories about the universe's spherical form and used geometric principles still taught today. The beauty of a sphere lies not just in its symmetry but also in how it has been perceived throughout history as a symbol of completeness and perfection! Speaking of real-world applications, the mathematics behind spheres is not just theoretical! In construction, engineering, and even packaging, understanding the surface area of spherical objects is essential. For example, when designing tanks, balls, or even in balsamic vinegar production (where aging in spherical vats occurs), calculating the surface area helps assess the material needed, predict interactions, and optimize performance. So next time you see a globe or a basketball, you’ll know there's a whole lot of math behind those perfect curves!