SOLUTION: If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume? cm3

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Question 991862: If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume?
cm3
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
D=3%7D%7D%7B%7B%7Bcm
R=1.5cm
The exact volume would be,
V=%284%2F3%29pi%2AR%5E3=14.1%7D%7D%7B%7B%7Bcm%5E3
A good approximation would be,
V=%284%2F3%29pi%28D%2F2%29%5E3=%284%2F3%29pi%28D%5E3%2F8%29=D%5E3%2F2
V%5Bapprox%5D=D%5E3%2F2=%283%29%5E3%2F2=27%2F2=13.5cm%5E3

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given: the diameter of the red marble is d=3.0cm=> then radius is r=d%2F2=3.0cm%2F2=1.5cm
marble is in shape of sphere, so we have
V+=+%284%2F3%29pi%2Ar%5E3
V+=+%284%2F3%293.14%2A%281.5cm%29%5E3
V+=+%284%2F3%293.14%2A3.375cm%5E3
V+=+%284%2F3%2910.5975cm%5E3
V+=+1.333333333333333%2A10.5975cm%5E3
V+=+14.13cm%5E3=>approximately V+=+14cm%5E3