Q7 of 189 Page 508

How many lead shots, each 3 mm in diameter, can be made from a cuboid with dimensions

Given,


Dimensions of cuboid l = 12cm


b = 11cm


h = 9cm


Diameter of sphere (d) = 3mm


r = = 1.5mm


r = 0.15 cm


When we melt any object, and convert it into another then the volume of both the object will be same.


So,


Volume of cuboid = n × volume of sphere


n = no. of sphere


l × b × h =


12 × 11 × 9 =


n =


n = 84000


More from this chapter

All 189 →
5

The surface area of a sphere is Find its volume.

 6

The outer diameter of a spherical shell is 12 cm and its inner diameter is 8 cm. Find the volume of metal contained in the shell. Also, find its outer surface area.

 8

How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

 9

A solid sphere of radius 3 cm is melted and then cast into smaller spherical balls, each of diameter 0.6 cm. Find the number of small balls thus obtained.