THREE SOLID SPHERES OF IRON HAVING DIAMETER 2CM , 12CM AND 16CM RESPECTIVELY ARE MELTED INTO SPHERE.FIND THE RADIUS OF THE NEW SPHERE
i have read the answer to this question but in the question says the diameters are 2cm. 12cm and 16cm. so the radius will be 1cm, 6cm, 16cm respectively. but when i checked the older answer the radius was taken as 2cm, 12cm, 16cm
Given: Radii r1, r2, r3 of three spheres are 1 cm, 6 cm and 8 cm.
Let radius of new sphere be R.
As, we know that,
Also,as three spheres are melted into a single sphere.
∴ Sum of volumes of three spheres = Volume of new sphere
Thus, the radius of new sphere=9 cm