Find the volume of a sphere with a radius of 1.8. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary.
The answer is 7.78 show me step by step
To find the volume of a sphere, use the formula: V = (4/3) * π * r³, where r is the radius of the sphere.
Given that the radius is 1.8, plug it into the formula:
V = (4/3) * π * (1.8)³
Simplify:
V = (4/3) * π * 5.832
Multiply the numbers:
V = 24.544 * π
To round the answer to the nearest hundredth, approximate π to 3.14:
V = 24.544 * 3.14
Calculate the result:
V ≈ 77.03
Rounding this value to the nearest hundredth, the volume of the sphere is approximately 77.03 cubic units.