if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

Where,

= volume of bigger bulb

= volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

= ⁴/3*π*r³ = 4πr³/3

= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

(12pie cancels 12 pie)

(taking the cube root of each side)

Radius of the bigger bulb = 10 cm