If the volume of right circular cone of height 12 cm is 48 pie cube . Find the diameter of the base.
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Answer:
Volume of cone = 1/3 pi r^2 h
48 = 1/3×22/7×r^2×12
48 = 22/7×r^2×4
48×7/22 = r^2×4
24×7/11 = r^2×4
24×7/11×4 = r^2
6×7/11 = r^2
42/11 = r^2
3.81 = r^2
r = √3.81
r = 1.95
Hence, diameter = 2×r
= 2×1.95
= 3.9 cm
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