Question

A solid piece of iron of dimensions 49 × 33 × 24 cm is moulded into a sphere. The radius of the sphere is

Options

• 21 cm

• 28 cm

• 35 cm

• none of these

Answer 1

The volume of iron piece = 49 × 33 × 24 cm³

Let, r is the radius sphere.

Clearly,

The volume of sphere = volume of iron piece

`4/3pir^3 = 49 xx 33 xx 24`

`4/3 xx 22 /7 xx r^3 = 49 xx 33 xx 24`

`r^3 = (49 xx 33 xx 24 xx 3 xx 7)/(4 xx 22)`

`r^3 = 49 xx 3xx 3 xx 3 xx 7`

    `r = 7 xx 3`

    `r = 21 cm`