metal spheres of radius 6cm,8cm,10cm respectively are melted to form a single solid sphere. find the radius of the resulting sphere.
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Answered by
18
Radii of sphere's=6cm, 8cm , 10cm
Volume=4/3πr3
4/3π(r3+r3+r3)=4/3πr3
(6)3+(8)3+(10)3=r3
216+512+1000=r3
1728=r3
r= cube root of 1728
r=12cm...
Hence the radius of the resulting sphere is 12cm..
hope this helps!
cheers! (:
Volume=4/3πr3
4/3π(r3+r3+r3)=4/3πr3
(6)3+(8)3+(10)3=r3
216+512+1000=r3
1728=r3
r= cube root of 1728
r=12cm...
Hence the radius of the resulting sphere is 12cm..
hope this helps!
cheers! (:
Answered by
4
r1=6cm
r2=8cm
r3=10cm
Volume of sphere 1 + Volume of sphere 2 +Volume of sphere = Volume of sphere with radius R
4/3×22/7{(6)^3+(8)^3+(10)^3}=4/3×22/7×R^3
=4/3×22/7×{216+512+1000}=4/3×22/7×R^3
=4/3×22/7×1728=4/3×22/7×R^3
=1728=R^3
=12=R
HOPE THIS HELPS YOU ::(
r2=8cm
r3=10cm
Volume of sphere 1 + Volume of sphere 2 +Volume of sphere = Volume of sphere with radius R
4/3×22/7{(6)^3+(8)^3+(10)^3}=4/3×22/7×R^3
=4/3×22/7×{216+512+1000}=4/3×22/7×R^3
=4/3×22/7×1728=4/3×22/7×R^3
=1728=R^3
=12=R
HOPE THIS HELPS YOU ::(
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