Question

A metalic slhere of radii 6cm 8cm and 10cm respectively are melted to form a single solid sphere find the radius of the resulting sphere? ​

Answer 1

Answer:

⚠ _ Hello _ ⚠

Step-by-step explanation:

vol. of sphere ⤵

4/3π (r^3 + r^3 + r^3) = 4/3π r^3

r^3 + r^3 + r^3 = R^3

(6)^3 + (8)^3 +(10)^3= R^3

216 + 512 + 1000= R^3

R^3 = 1728

R= 12 cm

➡ Thus, the radius of new sphere is 12 cm

⭐⭐ Merry Christmas⭐⭐

Answer 2

Answer:

R =12cm

Step-by-step explanation:

Vlume of resulting sphere = volume of 3 sphere

4/3 π R³    = 4/3 π (r³ +r³ +r³)

4/3 πR³  = 4/3 π (6³+8³+10³)

R³  = 216 +512 +1000

      =1728

R   =12

∴Radius of the resulting sphere  =12 cm