(a) Find an equation of the sphere that is inscribed in the cube that is centered at the point − 2 , 1 , − 3 and has sides of length 1 that are parallel to the coordinate planes. (b) Find an equation of the sphere that is circumscribed about the cube in part (a). (c) Find an equation of the sphere that is inscribed in the cube determined by the planes x = 6 , x = 2 , y = 5 , y = 9 , z = 0 , and z = 4. (d) Find an equation of the sphere that is circumscribed about the cube in part (c).
(a) Find an equation of the sphere that is inscribed in the cube that is centered at the point − 2 , 1 , − 3 and has sides of length 1 that are parallel to the coordinate planes. (b) Find an equation of the sphere that is circumscribed about the cube in part (a). (c) Find an equation of the sphere that is inscribed in the cube determined by the planes x = 6 , x = 2 , y = 5 , y = 9 , z = 0 , and z = 4. (d) Find an equation of the sphere that is circumscribed about the cube in part (c).
(a) Find an equation of the sphere that is inscribed in the cube that is centered at the point
−
2
,
1
,
−
3
and has sides of length 1 that are parallel to the coordinate planes.
(b) Find an equation of the sphere that is circumscribed about the cube in part (a).
(c) Find an equation of the sphere that is inscribed in the cube determined by the planes
x
=
6
,
x
=
2
,
y
=
5
,
y
=
9
,
z
=
0
,
and
z
=
4.
(d) Find an equation of the sphere that is circumscribed about the cube in part (c).
Precalculus: Mathematics for Calculus - 6th Edition
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