A iron right circular cone of diameter 8cm and height 12cm is melted and recast into spherical lead shots each of radius 4mm.How many lead shots can be made ?
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Diameter of cone = 8 cm
Radius of cone (R) = 8/2 = 4 cm
Height of cone =12 cm
Volume of cone =1/3 π R^2 h
=1/3 π 4×4×12
=π4×4×4
=64 π cm^3 .
Radius of spherical lead shots (r) = 4 mm
=0.4 cm
Volume of spherical lead shots =4/3 π r^3
=4/3 π 0.4 ×0.4 ×0.4
=4/3 π 0.064 cm^3
Number of lead shots = Volume of cone / Volume of 1 lead shots
= 64 π /4/3 π0.064
= 64× 3/ 4 ×0.064
= 64 ×3×1000/4×64
= 3 ×250
= 750 lead shots.
Radius of cone (R) = 8/2 = 4 cm
Height of cone =12 cm
Volume of cone =1/3 π R^2 h
=1/3 π 4×4×12
=π4×4×4
=64 π cm^3 .
Radius of spherical lead shots (r) = 4 mm
=0.4 cm
Volume of spherical lead shots =4/3 π r^3
=4/3 π 0.4 ×0.4 ×0.4
=4/3 π 0.064 cm^3
Number of lead shots = Volume of cone / Volume of 1 lead shots
= 64 π /4/3 π0.064
= 64× 3/ 4 ×0.064
= 64 ×3×1000/4×64
= 3 ×250
= 750 lead shots.
jkhan1:
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0
Diameter of the cone=8 cm
Therefore its radius(r1)=8/2=4 cm
Height of the cone=12 cm
Radius of spherical lead shots(r2)4mm=4/10=0.4 cm
No. of lead shots=(1/3πr1square h)/(4/3πr2cube)
=(1/3 r1 square h)/4/3 rcube
=(1/3 4 square×12×3)/(4×0.4 cube)
=(1/3 ×16×36)/4×0.064
=192/0.256
=192000/256
=750 lead shots
Therefore its radius(r1)=8/2=4 cm
Height of the cone=12 cm
Radius of spherical lead shots(r2)4mm=4/10=0.4 cm
No. of lead shots=(1/3πr1square h)/(4/3πr2cube)
=(1/3 r1 square h)/4/3 rcube
=(1/3 4 square×12×3)/(4×0.4 cube)
=(1/3 ×16×36)/4×0.064
=192/0.256
=192000/256
=750 lead shots
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