Axial section of the cone

The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square.

Correct answer:

V =  366.4297 cm3

Step-by-step explanation:

D:s = 2:3 S=312 cm2  2r:s = 2:3 r:s = 1:3  3r = s  S = π r(r+s) S = π r(r+3r) S = 4 π r2  r=4πS=4 3.14163124.9828 cm D=2 r=2 4.98289.9656 cm s=3 r=3 4.982814.9484 cm   Verifying Solution:  k=D/s=9.9656/14.9484=320.6667  h=s2r2=14.948424.9828214.0935 cm  S1=π r2=3.1416 4.98282=78 cm2  V=31 S1 h=31 78 14.0935=366.4297 cm3

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Tips for related online calculators
Check out our ratio calculator.
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

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