3080 $c m^{3}$ of water is required to fill a cylindrical vessel completely and 2310 $c m^{3}$ of water is required to fill it up to 5 cm below the top. find radius of the vessel.

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Solution

The correct option is B 7
As per question,
volume of cylindrical vessel =3080 cm3
$V = Π r^{2} h$
$3080 = Π r^{2} h$
$h = 980 / r^{2}$
and
volume of same cylindrical vessel of height h-5 cm
$V = Π r^{2} (h - 5)$
$2310 = Π r^{2} (980 / r^{2} - 5)$
$2310 = Π (980 - 5 r^{2})$
$245 = 5 r^{2}$
$r = 7 c m$

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3080 cm3 of water is required to fill a cylindrical vessel completely and 2310 cm3 of water is required to fill it up to 5 cm below the top. find radius of the vessel.

The correct option is B 7As per question, volume of cylindrical vessel =3080 cm3V=Πr2h3080=Πr2hh=980/r2and volume of same cylindrical vessel of height h-5 cmV=Πr2(h−5)2310=Πr2(980/r2−5)2310=Π(980−5r2)245=5r2r=7cm

3080 $c m^{3}$ of water is required to fill a cylindrical vessel completely and 2310 $c m^{3}$ of water is required to fill it up to 5 cm below the top. find radius of the vessel.