AzeemB308799 AzeemB308799
  • 03-11-2022
  • Mathematics
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Find the volume of this cone.Use 3 for TT.V = Tigh3Hint: The radius (1) is1/2 of the diameter.6 ft6 ft-3V ~ [?]ft

Find the volume of this coneUse 3 for TTV Tigh3Hint The radius 1 is12 of the diameter6 ft6 ft3V ft class=

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BrolinU475950 BrolinU475950
  • 03-11-2022

ANSWER

[tex]54ft^3[/tex]

EXPLANATION

The volume of a cone is given by:

[tex]V=\frac{\pi r^2h}{3}[/tex]

where r = radius

h = height

The height of the given cone is 6 ft and its diameter is 6 ft. The radius of a cone is half its diameter, hence its radius is:

[tex]\begin{gathered} r=\frac{6}{2} \\ r=3ft \end{gathered}[/tex]

Hence, the volume of the cone is:

[tex]\begin{gathered} V=\frac{3\cdot3^2\cdot6}{3} \\ V=54ft^3 \end{gathered}[/tex]

That is the answer.

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