Question

A spherical ball of radius 3cm is melted and recast into three spherical ball. The radii of two of these ball are 1.5cm and 2cm. Find the radius of the third ball.​

Answer 1

Answer:

5cm. hope this helps u.

Answer 2

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The radius of spherical ball = 3 cm

Volume of spherical ball = 4/3πr3

= 4/3π × 3 × 3 × 3

= 36π cm3

∵ Volume of spherical ball = Total volume of three small spherical ball

∵ The radii of the ball are 1.5 cm and 2 cm

∴ Let the radius of third ball = r

∴ Volume of spherical ball = Total volume of three small spherical balls

36π = 4/3π × (3/2)3 + 4/3π × (2)3 + 4/3 πr3

36π = 4/3π × 27/8 + 4/3π × 8 + 4/3πr3

36π = 4/3π(27/8 + 8 + r3)

(36π × 3)/4π = 27/8 + 8 + r3

27 = (27 + 64)/8 + r3

27 = 91/8 + r3

27 – 91/8 = r3

(216 – 91)/8 = r3

125/8 = r3

r = 5/2 cm

The diameter of the third ball = 2r = 2 × 5/2

= 5 cm