Final answer:
To find the volume of a sphere with radius 7.2, we use the formula V = (4/3)πr^3, resulting in approximately 1570.8 cubic units when rounded to the nearest tenth.
Step-by-step explanation:
To calculate the volume of a sphere with a given radius, we use the formula V = (4/3)πr3. For a sphere with a radius of 7.2 units, we substitute the radius value into the formula to find the volume.
First, we calculate the radius cubed (r3), which is 7.23 = 373.248. Then we multiply this value by π (approximately 3.14159) and 4/3 to get the volume.
V = (4/3)π(7.23) = (4/3)π373.248 ≈ 1570.79633...
When rounding to the nearest tenth, the volume of the sphere is approximately 1570.8 cubic units.