Q.10 A spherical canon ball, 28 cm in diameter
is melted and cast into a right circular
conical mould, the base of which is 35 cm
in diameter. Find the height of the cone,
correct to one place of decimal.
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Step-by-step explanation:
Sphere radius = 28/2
= 14
Volume of sphere = 4/3π r^3
= 4/3π × 14 × 14 × 14
It's melted and recast to a conical shape
Its radius = 35/2 = 17.5 cm
= 1/3π r^2 h
1/3π ×17.5×17.5×h
According to the question
Volume of sphere = volume of cone
4/3π×14×14×14 = 1/3π ×17.5×17.5×h
4/3×14×14×14 = 1/3×17.5×17.5×h
3658.6 = 102.08 × h
3658/102.08 = h
35.84 = h
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