233512056 233512056
  • 21-03-2024
  • Mathematics
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Calculate the total volume when two identical truncated cones are placed end to end.

Calculate the total volume when two identical truncated cones are placed end to end class=

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shadowfaxmp shadowfaxmp
  • 21-03-2024

Answer: [tex]2\cdot\frac{1}{3}\pi18\left(2^{2}+2\left(8\right)+8^{2}\right)[/tex] = 3166.73

Step-by-step explanation:

Use the formula for a truncated cone: [tex]\frac{1}{3}\pi h\left(r^{2}+rR+R^{2}\right)[/tex]

r=smaller radius = 2

R=Bigger radius = 8

h = height = 18

Since we have to cones, the total volume can be described as:

[tex]2\cdot\frac{1}{3}\pi18\left(2^{2}+2\left(8\right)+8^{2}\right)[/tex]

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