A is a right circular cylinder with base diameter 4 cm and height 6.2 CM. It is surmounted by a cone of slant height 3 cm. The entire structure is melted and spheres are formed each having radius 1 cm . How many spheres can be formed
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#hey mate#
let x be the no. of spheres
radius of cylinder & cone (r)= 2cm
l= 3cm
l= sq root h^2 + r^2
3^2=h^2 + 2^2
9= h^2 + 4
h=sq root 5
vol. of cylinder + vol. of cone = x * vol. of sphere
pie r^2 h + 1/3 pie r^2 h = x * 4/3 pie r^3
2^2 (6.2) + 1/3 2^2 (sq root5) = x * 4/3 1^3
24.8 + 4(sq root5)/3 = x*4/3
6.2+sq root 5=x
#$amu#
let x be the no. of spheres
radius of cylinder & cone (r)= 2cm
l= 3cm
l= sq root h^2 + r^2
3^2=h^2 + 2^2
9= h^2 + 4
h=sq root 5
vol. of cylinder + vol. of cone = x * vol. of sphere
pie r^2 h + 1/3 pie r^2 h = x * 4/3 pie r^3
2^2 (6.2) + 1/3 2^2 (sq root5) = x * 4/3 1^3
24.8 + 4(sq root5)/3 = x*4/3
6.2+sq root 5=x
#$amu#
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