The shaded region below represents a quarter circle combined with a right triangle "flag." Homework Help ✎
Imagine rotating this flag about its "pole" and describe the resulting three-dimensional figure. Draw a picture of this figure on your paper. To help you visualize this, use the 1-152 eTool (Desmos).
Find the volume of the rotated flag.
Use the eTool below to visualize the flag.
Click the link at right for the full version of the eTool: Calc 1-152 HW eTool
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.