Fix the Hidden Faces Mistake

Understand the problem

1 of 3

First, understand the question

Do not start calculating until the given information and the required answer are clear.

Problem

A hemisphere of radius rr is mounted on a cube of edge aa, with 2ra2r\le a. Which surfaces form the exposed area?

What are we trying to do?

Write an expression for only the surfaces that remain visible after the hemisphere is fixed to the cube.

Build the solution one reason at a time

Read why each action is needed. Then use it to change the mathematical model.

cube
− contact
+ curved dome
Helpful?