Question

A solid sphere of radius 10cm is moulded into 8 spherical solid balls of equal radius, then find the radius of each ball.

Answer 1

Volume of solid sphere = 4/3 πR³ = 4/3 × 22/7 × 10 × 10 × 10 = 88000/21 CM³

∴ Volume of spherical balls = 88000/23 CM³

Volume of 1 spherical ball = 11000/21 CM³

⇒4/3 πr³ = 11000/21 ⇒r³ =

$\frac{11000 \times 3 \times 7}{21 \times 4 \times 22} = 125$

⇒r = 3√125 = 5CM

∴ surface area of each ball = 4πr³ = 4 × 25 × π = 100π

$\huge{ \mathfrak{ \red{ ItzMaira}}}$

Answer 2

Answer:

Volume of solid sphere =34πR3=34×722×10×10×10=2188000cm3

∴  Volume of spherical balls =2188000cm3

     Volume of 1 spherical ball =2111000cm3

⇒34πr3=2111000⇒r3=21×4×2211000×3×7=125

⇒r=3125=5cm

∴  Surface area of each ball =4πr2=4×25×π=100π

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