2. Lindsay, who is the youngest member of the softball team at King's Fork High School, is 7
1 answer:
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Remember that the equation of the volume of a sphere is: 
where
is the volume of the sphere
is the radius of the sphere
We know from our problem that the volume of our spherical ball is
, so 
. Lets replace that value in our equation to find :
![r= \sqrt[3]{729}](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%5B3%5D%7B729%7D%20)
Now that we have the radius of our spherical ball, we can find its diameter using the equation:
:
Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span>
where
is the volume of the cube
is a side of the cube (remember that all the sides of a cube are equal)
We can conclude that the volume of our cube is 5832
.
where
We know from our problem that the volume of our spherical ball is
Now that we have the radius of our spherical ball, we can find its diameter using the equation:
Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span>
where
We can conclude that the volume of our cube is 5832