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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 37.7 cm3 47.7 cm3 class=

Verified Answer :

iGreen

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.

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

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