Question

The largest sphere is curved out of a cube of side 7cm.findthe volume of the remaining solid

Answer 1

The largest sphere would have the diameter equal to the side of the square that is 7 cm.

Therefore the radius of the circle is 3.5 CM that is the half of its diameter.

to find the volume of the sphere apply the formula 4/3*π*r*r.

show the volume of the sphere would be approximately 51.33cm3.

now the side of the cube is 7 cm so the volume of the cube is (side*side*side)I.e. 343cm3.

Therefore volume left out is 343-51.33 approx.

And: 291.67cm3