Question
A sphere is inscribed in a cube. The diagonal of one face of the cube measures 4 units. Find the volume of the sphere.
a.) 8π√2/3 units3
b.) 8√2 units3
c.) 4Ï€ units3
a.) 8π√2/3 units3
b.) 8√2 units3
c.) 4Ï€ units3
Answers
MathMate
Diagonal of one face of the cube = 4 units.
Side of cube = 4/√2=2√2
Radius of sphere, r
=(1/2)side of cube
=√2
Volume of sphere, V
= (4/3)πr³
You can take it from here.
Side of cube = 4/√2=2√2
Radius of sphere, r
=(1/2)side of cube
=√2
Volume of sphere, V
= (4/3)πr³
You can take it from here.