Question

A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have?

• A. 7 $cm$
• B. 6 $cm$
• C. 4$cm$
• D. 6.5 $cm$

Answer 1

The correct option is A

7 $cm$

The hemisphere surmounts the cube, the maximum diameter the hemisphere can have = side of cube as shown in the figure below. The hemisphere will just touch the sides of top face of the cube from inside

Therefore, maximum diameter Hemisphere can have = 7 cm