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Question

The height of the given cone is equal to three times its radius. The volume of the cone is _______ .
(use π=227)


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Solution

Detailed step-by-step solution:
The diameter of the cone, D=14 inches
The radius of the cone, r=D2
=142
=7 inches
The height (h) of the cone =3× (The radius of the cone)
=3×7
=21 inches
Volume of the cone =13(πr2h)
=13×227×72×21
=2221×72×21
=22×7×7
=1078 cubic inches
The volume of the cone is 1078 cubic inches.
Option B is correct.

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