SOLUTION: A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.
a. ¼
b. 2π
c. π/6-1
d. 1-π/4
e.
Question 1117255: A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.
a. ¼
b. 2π
c. π/6-1
d. 1-π/4
e. 1-π/6
What are the steps an processes I need to solve this problem because it has been alluding me? Can you please show me step-by-step. I am not a naturally strong person in math. I would really appreciate it!🤓🧐 Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website! A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.
a. ¼
b. 2π
c. π/6-1
d. 1-π/4
e. 1-π/6
What are the steps an processes I need to solve this problem because it has been alluding [sic] me? Can you please show me step-by-step. I am not a naturally strong person in math. I would really appreciate it.
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Not alluding, eluding.
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Volume of the cube = L*W*H = 1
Volume of the sphere, r = 1/2 =
Subtract the volume of the sphere from 1.
Unoccupied volume = volume of the cube with the edge of 1 unit long - (minus) volume of the sphere of the radius =
= 1^3 - = = .
Answer. Unoccupied volume inside the cube is of cubic units.