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Find the volume of a right circular cone that has a height of 10.6 m and a base with a
diameter of 18.5 m. Round your answer to the nearest tenth of a cubic meter.

Respuesta :

XxAmiramaexX

Answer:

949.76cm³

Step-by-step explanation:

solve for radius = 18.5/2 = 9.25

formula: v=1/3(πr²h)

r=9.25, h=10.6, π=3.14,

> v=1/3(3.14)(9.25)²(10.6)

> v=1/3(3.14)(85.5625)(10.6)

> v=1/3(2847.86225)

> v=949.287417

> round off to the nearest tenth

> v=949.76cm³

RevyBreeze

Answer:

[tex]136.2m^3[/tex]

Step-by-step explanation:

The usual formula for the volume of a cone is

[tex]V=\frac{1}{3} \pi r^2} h[/tex]

We're given circumference

[tex]C=\pi r[/tex]

so

[tex]r=\frac{c}{2\pi }[/tex]

[tex]V=\frac{1}{3} (c/2\pi ))^2h=\frac{hC^2}{12\pi }[/tex]

Substituting,

[tex]V=\frac{15(18.5)^2}{12\pi } =\frac{6845}{16\pi } =136.2m^3[/tex]

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