A cone of radius 3-cm- has CSA-47-1-cm-2- Find volume-

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Toppr Admin · Accepted Answer

CSA-47-1cm2-x3C0-rl-47-1r-3cm3-14X3Xl-47-1l-47-13-14X3l-5cmv-13-x3C0-Xr2Xhh-x221A-l2-x2212-r2-h-x221A-52-x2212-32-h-x221A-16h-4cmV-13X3-14X32X4V-37-68cm2

A cone of radius $3 c m$ , has $C S A 47.1 c m^{2}$ . Find volume.

$C S A = 47.1 c m^{2}$
$π r l = 47.1$
$r = 3 c m$
$3.14 X 3 X l = 47.1$
$l = \frac{47.1}{3.14 X 3}$

$l = 5 c m$
$v = \frac{1}{3} π X r^{2} X h$

$h = \sqrt{(} l^{2} - r^{2})$
$h = \sqrt{(} 5^{2} - 3^{2})$
$h = \sqrt{1} 6$
$h = 4 c m$
$V = \frac{1}{3} X 3.14 X 3^{2} X 4$

$V = 37.68 c m 2$

A cone of radius 3cm, has CSA47.1cm2. Find volume.

CSA=47.1cm2πrl=47.1r=3cm3.14X3Xl=47.1l=47.13.14X3l=5cmv=13πXr2Xhh=√(l2−r2)h=√(52−32)h=√16h=4cmV=13X3.14X32X4V=37.68cm2

A cone of radius $3 c m$ , has $C S A 47.1 c m^{2}$ . Find volume.

$C S A = 47.1 c m^{2}$
$π r l = 47.1$
$r = 3 c m$
$3.14 X 3 X l = 47.1$
$l = \frac{47.1}{3.14 X 3}$

$l = 5 c m$
$v = \frac{1}{3} π X r^{2} X h$

$h = \sqrt{(} l^{2} - r^{2})$
$h = \sqrt{(} 5^{2} - 3^{2})$
$h = \sqrt{1} 6$
$h = 4 c m$
$V = \frac{1}{3} X 3.14 X 3^{2} X 4$

$V = 37.68 c m 2$