Question

What is the best approximation of the volume of the right cone?

113 cm3
141 cm3
37.7 cm3
47.7 cm3

Answer 1

`Volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\\\\r=3cm\to r^2=9cm^2;\ H=4cm\\\\therefore\ V=(1)/(3)\cdot\pi \cdot9\cdot4=\left((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`

Answer 2

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.