lmakeup505 lmakeup505
  • 15-04-2020
  • Mathematics
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A cone has a height of 14 centimeters and a diameter of 8.4 centimeters. What is the volume of the cone in terms of pie?

A cone has a height of 14 centimeters and a diameter of 84 centimeters What is the volume of the cone in terms of pie class=

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opudodennis
opudodennis opudodennis
  • 22-04-2020

Answer:

[tex]V=82.2\pi \ cm^3[/tex]

Step-by-step explanation:

-Given the cone's diameter is 8.4 cm and the height is 14 cm.

-It's volume can be calculated as follows:

[tex]V=\frac{1}{3}\pi r^2h, \ h=14, \ r=8.4/2=4.2\\\\V=\frac{1}{3}\pi \times 4.2\times 14\\\\82.2\pi \ cm^3[/tex]

[tex]\therefore V=82.2\pi \ cm^3[/tex]

Hence, the cone's volume is [tex]82.2\pi \ cm^3[/tex]

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