How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge me...

Question

How many spherical lead shots of diameter 4 cm can be made out of a solid cube of lead whose edge measures 44 cm

Accepted Answer

Solution No matter how different the new shape is when we change one solid shape into another its volume stays the same In reality if we divide a large cube into numerous small spheres of lead the total volume of the smaller spheres equals the volume of the original cube Edge of the cube a 44 cm Volume of cube asup3sup 44sup3sup 85184 cmsup3sup Diameter of shot 4 cm So radius of shot r 42 2 cm Volume of a shot 43 rsup3sup 432272sup3sup 70421 cmsup3sup Number of lead shots made from cube 8518470421 8518421704 2541 Hence the number of shots made from cube is 2541

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.5 in Chapter 17 - Mensuration