3 years ago

Find the equation of the surface. the bottom hemisphere of a sphere centered at (8, -7, 0) with radius 10.

1 answer:

7 0

The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2

Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)

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B.) 4.18 square inches

Step-by-step explanation:

Find the area of the one right triangle and multiply it by two. The formula for the area of a triangle is:

$A=\frac{1}{2} bh$

Insert the values. 1.1 is the base and 3.8 is the height:

$A=\frac{1}{2} *1.1*3.8$

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$A=\frac{1*1.1*3.8}{2} \\\\A=\frac{4.18}{2} \\\\A=2.09$

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