A spherical solid material of radius 18 cm is melted and recast intesp

1.	A spherical solid material of radius 18 cm is melted and recast intespherical spheres of different sizes. If the radi of two spheres are 2em and 12 cm. findthe radius of the third sphere.
Answer» Volume of sphere = (4/3)Πr³ (4/3) Π (18)³ =(4/3) Π (2)³ +(4/3) Π (12)³ +(4/3) Π r³ (4/3) Π (18)³ =(4/3) Π [(2)³ +(12)³ +r³ ] (18)³ =[(2)³ +(12)³ +r³ ] 5832 = 8 + 1728 +r³ 5832 = 1736 +r³ 5832 - 1736 =r³ 4096 =r³ r =∛16x16x16 r = 16 cm Radius of third sphere = 16 cm

A spherical solid material of radius 18 cm is melted and recast intespherical spheres of different sizes. If the radi of two spheres are 2em and 12 cm. findthe radius of the third sphere.

Answer»

Volume of sphere = (4/3)Πr³

(4/3) Π (18)³ =(4/3) Π (2)³ +(4/3) Π (12)³ +(4/3) Π r³

(4/3) Π (18)³ =(4/3) Π [(2)³ +(12)³ +r³ ]

(18)³ =[(2)³ +(12)³ +r³ ]

5832 = 8 + 1728 +r³

5832 = 1736 +r³

5832 - 1736 =r³

4096 =r³

r =∛16x16x16

r = 16 cm

Radius of third sphere = 16 cm