Answer:
Correct answer: V = 3,888 π in³
Explanation:
Given:
Radius of the sphere r = 18 in
The volume of the hemisphere is:
V = (2/3) · r³· π
V = (2/3) · 18³ · π = (2/3) · 5,832 · π = 3,888 π in³
V = 3,888 π in³
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Volume (V) = 3888π cubic inches
The volume of the drawn hemisphere is expressed as:
V = 2/3 π r ^3
Parameters given:
r = 18 inches
r = r ^ 3
= 18^3
= 18 * 18 * 18
r = 5832 inches
Therefore:
Volume (V) = 2/3 * π * 5832
V = 2/3 * 5832 π
V = 2 * 1944π
V = 3888 π cubic inches
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