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CBSE Class 10 Answered

Find the number of spherical lead shot each of diameter 6 ending date that can be made from a solid cuboid of lead having dimensions 24cm x 22 cm x 12 CM.  
Asked by abisoyi2004 | 19 Feb, 2019, 03:47: PM
answered-by-expert Expert Answer
l = 24 cm, b = 22 cm and h = 12 cm
Volume of cuboid = lbh = 24 × 22 × 12 = 6336 cm3
Volume of sphere lead shot = 4/3 ∏r3 = begin mathsize 16px style 4 over 3 cross times 22 over 7 cross times 3 cubed equals 113.14 space cm cubed end stylebegin mathsize 16px style 4 over 3 cross times 22 over 7 cross times 3 cubed equals 113.14 space cm cubed end style
Let the number of lead shots be n.
Volume of cuboid = n × volume of sphere
6336 = n × 113.14
n = 56

Answered by Sneha shidid | 19 Feb, 2019, 04:07: PM

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