Question

Find the missing dimension of the cone. Volume = 118π ft3 2/3 ft h =_ft

Answer 1

The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

What is the Volume of a Cone?

Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.

Given the following:

• Volume = 1/18 π ft³
• Diameter = 2/3 ft
• Radius = (2/3)/2 = 1/3 ft
• Height (h) = ?

Plug in the values into the volume formula:

1/18π = 1/3π(1/3)²h

1/18π = 1/3π(1/9)h

1/18π = (πh)/27

Divide both sides by π

1/18 = h/27

Cross multiply

27 = 18h

27/18 = h

h = 1.5

Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

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