Madmax57757 Madmax57757
  • 13-03-2022
  • Mathematics
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The radii of two similar cones are 1 and 2.5. What is the ratio of their volumes?

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claire33p7xpgf
claire33p7xpgf claire33p7xpgf
  • 14-03-2022

Answer:

Assuming the cones are the same height, then

V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3

V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3

V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3

V1/V2 = 1/6.25 = .16

V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)

V2/V1=6.25/1 = 6.25

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