how many spherical lead shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm * 11 cm * 12 cm?
Answers
The dimensions of a cuboid lead solids = 9 cm * 11 cm * 12 cm
The diameter of spherical lead shot, d = 3cm
The radius of spherical lead shot, r = 1.5 cm
Volume of cuboidal lead solids = l * b * h = 9 cm * 11 cm * 12 cm = 1188 cm^3
Let total number of spherical lead shots = n
Volume of spherical lead shots = 4 * pi * r^3 = 4 * 22/7 * (1.5)^3 = 99/7 cm^3
Volume of cuboidal lead solids = n * volume of spherical lead shots
1188 = n * 99/7
n = 1188 * 7 /99
84
The dimensions of a cuboid lead solids = 9 cm * 11 cm * 12 cm
The diameter of spherical lead shot, d = 3cm
The radius of spherical lead shot, r = 1.5 cm
Volume of cuboidal lead solids = l * b * h = 9 cm * 11 cm * 12 cm = 1188 cm^3
Let total number of spherical lead shots = n
Volume of spherical lead shots = 4 * pi * r^3 = 4 * 22/7 * (1.5)^3 = 99/7 cm^3
Volume of cuboidal lead solids = n * volume of spherical lead shots
1188 = n * 99/7
n = 1188 * 7 /99
84
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