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What is the best approximation of the volume of the right cone?
113 cm3
141 cm3
37.7 cm3
47.7 cm3

What Is The Best Approximation Of The Volume Of The Right Cone 113 Cm3 141 Cm3 377 Cm3 477 Cm3 class=

Sagot :

IGreenid
Formula:

V = 1/3 * pi * r^2 * h

Plug in what we know:

V = 1/3 * 3.14 * 3^2 * 4

V = 37.68cm^3

So the volume is 37.68cm^3 which rounds to 37.7cm^3.
[tex]Volume\ of\ the\ cone:V=\frac{1}{3}\pi r^2H\\\\r=3cm\to r^2=9cm^2;\ H=4cm\\\\therefore\ V=\frac{1}{3}\cdot\pi \cdot9\cdot4=\left(\frac{1}{3}\cdot36\right)\pi=12\pi\ (cm^3)\\------------------------\\\\\pi\ is\ an\ irrational\ number:\pi=3.14159265359...\approx3.14\\\\therefore\\\\12\pi\approx12\cdot3.14=37.68\approx\boxed{37.7\ (cm^3)}\leftarrow answer[/tex]

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