The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively it is melted and recast into solid right circular cones of height 32cm find the diameter of the base of the cone
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Answered by
7
4/3 pie (R^2-r^2)
4/3 pie (25-9)
4/3 *22/7 *16
67
1/3 pie r^2 h=67
1/3 *22/7 r^2 *32=67
now u can solve
4/3 pie (25-9)
4/3 *22/7 *16
67
1/3 pie r^2 h=67
1/3 *22/7 r^2 *32=67
now u can solve
Answered by
8
volume of hollow spherical shell =
4/3×22/7×(3×3×3-5×5×5)
=88/21×2
=176/21cmcube
volume of cone = 1/3×22/7×r×r×32
volume of cone=volume of spherical shell
176/21=1/3×22/7×r×r×32
r×r=8/32
r×r=1/4
r=1/2
r=0.5cm
4/3×22/7×(3×3×3-5×5×5)
=88/21×2
=176/21cmcube
volume of cone = 1/3×22/7×r×r×32
volume of cone=volume of spherical shell
176/21=1/3×22/7×r×r×32
r×r=8/32
r×r=1/4
r=1/2
r=0.5cm
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