### Home > CALC > Chapter 1 > Lesson 1.4.2 > Problem1-152

1-152.

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Sum together the volumes of the cone and the half-sphere. Note that the radius is obtained by using the trigonometry rule for 30° − 60° − 90° triangles.

$\text{The volume of a sphere is }\frac{4}{3}\pi r^{3},\text{ so the volume of half a}$

$\text{sphere would be half of that. The volume for a cone is }\frac{1}{3}\pi r^{2}h.$