<p>A sphere of radius r inside a cube touches one of the six sides of the cube. what is the volume of the cubes in terms of r?
A)r^3
B)2r^3
C)4r^3
D)(4/3)pir^3
E)8r^3</p>
<p>its either (C) or (E)…this is a wierd one</p>
<p>First of all, the question is supposed to say that the sphere touches each (all) of the six sides of the cube.</p>
<p>The radius = r, so the diameter = 2r. The diameter of the sphere is also the length of one side of the cube, so the length of one side of the cube is 2r. The volume of a cube is the length of one side cubed, (2r)^3, or 8r^3. (Answer is E.)</p>
<p>crazybandit makes sense</p>
<p>Wait a second, it only touches one side of the cube? I think you mean it touches each side of the cube. In that case, the dimensions of the cube are</p>
<h1>2r X 2r X 2r </h1>
<p>8 r^{3}</p>
<p>em the question is wrong perhaps</p>
<p>wow i type too quickly… bandit is GAWD. but yeah i put B i guess i forgot to cube the 2 as well… makes sense thanks!</p>