Q19 of 34 Page 1

Find the number of spherical lead shots, each of diameter 6 cm that can be made from a solid cuboid of lead having dimensions 24 cm × 22 cm × 12 cm.

Volume of cuboid = lbh where, l = length, b = breadth and h = height


For cuboidal lead ;


Length, l = 24 cm


Breadth, b = 22 cm


Height, h = 12 cm


Volume of lead = 24(22)(12) = 6336 cm3



For spherical shots,


Diameter = 6 cm


Radius, r = 3 cm



Now,



So, 168 bullets can be made from lead.


More from this chapter

All 34 →
17

A cylindrical pipe has inner diameter of 4 cm and water flows through it at the rate of 20 meter per minute. How long would it take to fill a conical tank of radius 40 cm and depth 72cm?

 18

In given figure, PS is the diameter of a circle of radius 6 cm. The points Q and R trisects the diameter PS. Semi circles are drawn on PQ and QS as diameters. Find the area of the shaded region.

 20

A wooden souvenir is made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm then find the total cost of polishing the souvenir at the rate of Rs. 10 per cm2.

 21

Draw a Δ ABC with sides BC = 5cm, AB = 6cm and AC = 7cm and then construct a triangle similar to ΔABC whose sides are 4/7 of the corresponding sides of ΔABC.