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प्रश्न
Rain water, which falls on a flat rectangular surface of length 6cm and breath 4m is
transferred into a cylindrical vessel of internal radius 20cm. What will be the height of
water in the cylindrical vessel if a rainfall of 1cm has fallen____?
उत्तर
Given length of rectangular surface =6cm
Breath of rectangular surface = 4cm
Height (h) 1cm
Volume of a flat rec tan gular surface = lbh
= 6000 x 400 x 1
Volume = 240000cm3 .............(1)
Given radius of cylindrical vessel = 20cm
Let height off cylindrical vessel be h1
Since rains are transferred to cylindrical vessel.
So equating (1) with (2)
Volume of cylindrical vessel = `pir_1^2h_1`
`=22/7(20)^2xxh_1` .............(2)
24000`=22/7(20)^2xxh_1`
⇒h1 = 190.9cm
∴height of water in cylindrical vessel = 190 9cms
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