Question

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone will have a volume of 60 in3.
β = °

Answer 1

I don't know where the angle β is, so I will make the assumption that tanβ = h/r
$V = \frac{1}{3} \pi r^{2} h$

V volume = 60
r radius = 2
h = r tanβ

$tan \beta = \frac{3V }{ \pi r^{3} } = \frac{ 180}{25,1} = 7,17 \\ \\ \beta = 82$