The height of the cone, to the nearest whole number is: 6 inches.
What is the Volume of a Cone?
Volume of cone = 1/3(πr²h)
r is radius and h is the height of the cone.
Given:
Volume of cone = 66 in.³
Diameter = 6.5 in.
Radius (r) = 6.5/2 = 3.25 in.
Height (h) = ?
Plug in the values
66 = 1/3(π)(3.25²)(h)
66 = 11.1h
66/11.1 = h
h = 6 in.
Therefore, the height of the cone, to the nearest whole number is: 6 inches.
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