Surface Areas and Volumes

⭐ Important Questions

1. A cone of radius 3 cm and height 4 cm is filled with water. Water is poured into cylinder of radius 3 cm. Find water height in cylinder.
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   Volume of cone = 13πr²h = 13π(3²)(4) = 12π cm³\nVolume of cylinder = πr²h = π(9)h = 9πh\n9πh = 12π => h = 43 cm
2. A sphere of radius 6 cm is melted and recast into cones of radius 2 cm and height 6 cm. Find number of cones.
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   Volume of sphere = 43π(6³) = 288π cm³\nVolume of one cone = 13π(2²)(6) = 8π cm³\nNumber = 288π8π = 36