Combination of Solids Solution13





In this page combination of solids solution13 we are going to see solution some practice questions of the worksheet combination of solid worksheet2.

Question 13:

An iron right circular cone of diameter 8 cm and height 12 cm is melted and recast into spherical lead shots each of radius 4 mm. How many lead shots can be made?

Solution:

diameter of right circular cone = 8 cm

radius of right circular cone (r) = 4 cm

Height of right circular cone (h) = 12 cm

Radius of spherical lead shot (r) = 4 mm

                      10 mm = 1 cm

                       4 mm = (4/10) cm 

Volume of right circular cone = n x (Number of spherical lead shots)

                      n = Volume of cone/Number of spherical lead shots

                             n(1/3)Π r² h/(4/3)Π r³

                             n(1/3) (4)² (12) x (3/4) (10/4)³

                             n(1/3) x 4 x 4 x 12 x (3/4) x (10/4) x (10/4) x (10/4)

                             n3 x 5 x 5 x 10

                             n = 750 lead shots

Therefore 750 lead shots can be made.