The base area of a cone is $38.5 c m^{2}$ . Its volume is $77 c m^{3}$ . Find its height.

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Solution

Given Base area of cone $= π r^{2} = 38.5 c m^{2}$
volume of come $= \frac{1}{3} π r^{2} h = 77 c m^{3}$
we have to find height
$\frac{1}{3} π r^{2} h = 77$
$\frac{1}{3} (38.5) h = 77 [∵ π r^{2} = 38.5]$
$h = \frac{77 \times 3}{38.5}$
$h = \frac{231}{38.5}$
$h = 6$
$∴$ Height $= 6$

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The base area of a cone is 38.5 cm2. Its volume is 77 cm3. Find its height.

Given Base area of cone =πr2=38.5 cm2volume of come =13πr2h=77 cm3we have to find height13πr2h=7713(38.5)h=77[∵πr2=38.5]h=77×338.5h=23138.5h=6∴ Height =6

The base area of a cone is $38.5 c m^{2}$ . Its volume is $77 c m^{3}$ . Find its height.

Given Base area of cone $= π r^{2} = 38.5 c m^{2}$
volume of come $= \frac{1}{3} π r^{2} h = 77 c m^{3}$
we have to find height
$\frac{1}{3} π r^{2} h = 77$
$\frac{1}{3} (38.5) h = 77 [∵ π r^{2} = 38.5]$
$h = \frac{77 \times 3}{38.5}$
$h = \frac{231}{38.5}$
$h = 6$
$∴$ Height $= 6$