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Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V =
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone:
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.
<u>Plug in the volume and the radius.</u>
<u>Simplify</u>
h ≈ 4
<u>4 is approximately the height.</u>
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Answer:
The measure of the complement angle is
Step-by-step explanation:
Let
x-----> the angle
we know that
The complement of an angle is equal to
The supplement of an angle is equal to
we have
The complement of an angle is one-sixth the measure of the supplement of the angle
solve for x
Find the measure of the complement angle
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