Final answer:
To calculate the total volume of four identical spheres, find the volume of one sphere and multiply it by 4. The formula for the volume of a sphere is (4/3)πr³. Plug in the radius in inches, calculate the volume, and then multiply by 4 to get the total volume in cubic inches.
Step-by-step explanation:
To calculate the total volume of four identical spheres that are tightly packed, we need to find the volume of one sphere and multiply it by 4. The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
Since the question asks for the answer in cubic inches, we need to make sure the radius is also in inches.
Let's say the radius of each sphere is 2 inches. Plugging this value into the formula, we get:
V = (4/3)π(2)³ = (4/3)π(8) = (32/3)π = 33.5 cubic inches (rounded to the nearest tenth).
Now, we multiply this volume by 4 to get the total volume of all four spheres: 33.5 cubic inches x 4 = 134 cubic inches (rounded to the nearest tenth).