Question

# Find inequalities that describe the solid and state the coordinate system used. Position the solid on the coordinate system such that the inequalities are as simple as possible. "The solid that remains after a hole 1 inch in diameter is drilled through the center of a sphere 6 inches in diameter "

Alternate coordinate systems
Find inequalities that describe the solid and state the coordinate system used. Position the solid on the coordinate system such that the inequalities are as simple as possible. "The solid that remains after a hole 1 inch in diameter is drilled through the center of a sphere 6 inches in diameter "

2020-11-03

Step 1
From the given hypothesis we clearly drawing a circle with centered at origin and with diameter is 6 inches:

Step 2
The Coordinate systems are:
$$(0 , -6), (0, 6)\ on\ y-axis\ and\ (6, 0), (-6, 0)$$ on x - axis
And also it passes through the centre (0, 0)
Therefore the inequalities are
$$-6 < x < 6\ and\ -6 < y <6$$