Question

find the volume of the largest sphere carved out from a cube of side 14cm. the above question was given in the class,one student was not able to understand the question,so she copied from her friend and showed it to the teacher.(i)in your opinion has she done the right thing.(ii)which value the student is lacking. plz read this question carefully then ans i want correct ans only plz ans........

Answer 1

edge length of cube = 14 cm
maximum diameter of sphere = edge length of cube
diameter of sphere = 14 cm
let radius of sphere = r
then ,
2r = 14 cm
r = 7 cm
volume of sphere = 4/3πr³
= 4/3× 22/7 × 7 × 7 × 7 cm³
=4/3× 22× 7 × 7 cm ³
=88× 49/3
=1437. 333 cm³

(1) not actually , if you copies form any other guys , then you bit understand the concept .
(2) I think students are taking in diameter , they think diameter = diagonal of cube but , here sphere carved out from sphere so, diameter = edge length of cube