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The volume of cone B will be 6 cubic units.
<h3>What is the volume of the cone?</h3>Let h be the height of the cone and A be the base area of the cone.
Then the volume of the cone will be
Volume = (1/3) × A × h
Consider cone A and cone B.
The bases of the cones are congruent.
The height of cone A is 4 times larger than the height of cone B.
The volume of cone A is 24.
24 = (1/3) Ahₐ
Then the volume of the cone B will be
Simplify the expression, then the volume will be
V = 1/4 x (1/3)Ahₐ
V = 1/4 x 24
V = 6 cubic units
The volume of cone B will be 6 cubic units.
More about the volume of the cone link is given below.
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