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rontezmalcom36
02.10.2019 •
Mathematics
Find an equation of the largest sphere contained in the cube determined by the planes x = 2, x = 16; y = 4, y = 18; and z = 7, z = 21.
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Ответ:
The y-coordinate of the center of the sphere is the midpoint of y=4 and y=18, that is (4+18)/2=22/2=11.
The z-coordinate of the center of the sphere is the midpoint of z=7 and z=21, that is (7+21)/2=28/2=14.
We also notice that the side lengths of the cube are:16-2 = 18-4 = 21-7 = 14
Thus, we have a sphere centered at (9, 11, 14) and radius R=14/2=7 units.
The equation of the sphere with radius R and center
Thus the equation of the largest sphere contained in the box is:
Ответ:
1 cubic yard of compost, 12 cubic yards of topsoil
Step-by-step explanation: