What is the volume of a sphere with a radius of 6 units?A.864 units3B.288 units3C.216 units3D.144 units3
Question
What is the volume of a sphere with a radius of 6 units?
A. 864 units³
B. 288 units³
C. 216 units³
D. 144 units³
Solution
The volume V of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere.
Step 1: Substitute the given radius, r = 6 units, into the formula.
V = 4/3 * π * (6 units)³
Step 2: Calculate the cube of the radius, (6 units)³ = 216 units³.
V = 4/3 * π * 216 units³
Step 3: Multiply the result by 4/3 * π.
V = 288π units³
So, the volume of the sphere with a radius of 6 units is 288π units³.
None of the options A, B, C, or D match this result. Please check the options again.
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