Question
Two cylindrical vessels with radii 15 cm and 10 cm and height 35 cm and 15 cm respectively are filled with water . If this water is poured into a cylindrical vessel 15 cm in height , then the radius of the vessel is :
Answer: Option D
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Let the radius of the vessel be R. Then
`pi R^2 xx 15 = pi xx (15)^2 xx 35 + pi xx (10)^2 xx 15`
`hArr pi R^2 xx 15 = 9375 pi`
`hArr R^2 = 625`
`hArr R = 25 cm.`
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