yabro89
yabro89 yabro89
  • 25-04-2019
  • Mathematics
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What is the approximate volume of a cone with a height of 12 in

What is the approximate volume of a cone with a height of 12 in class=

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gmany
gmany gmany
  • 25-04-2019

Answer:

[tex]\large\boxed{V=324\pi\ in^3\approx1017.36\ in^3}[/tex]

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have r = 9in and H = 12in. Substitute:

[tex]V=\dfrac{1}{3\!\!\!\!\diagup_1}\pi(9^2)(12\!\!\!\!\!\diagup^4)=\pi(81)(4)=324\pi\ in^3\\\\\pi\approx3.14\\\\V\approx(324)(3.14)=1017.36\ in^3[/tex]

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