Find the height $h$ of a cone if radius $r = 22 cm$ and volume $V = 2000 cm$ .

Answer

$9.3173$

Explanation

To find height $h$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 2000 cm$ and $r = 22 cm$ we have:

2000 cm = \frac{h ^{2} \cdot ( 22 cm ) ^{4} \cdot π}{3}

2000 cm \cdot 3 = h^{2} \cdot (22 cm)^{4} \cdot π

6000 cm = 22 cm \cdot h^{2} \cdot π

h^{2} = \frac{6000 cm}{22 cm π}

h^{2} \approx 86.8116

h \approx 86.8116

h \approx 9.3173

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Find the height h of a cone if radius r=22cm and volume V=2000cm.

9.3173

Find the height $h$ of a cone if radius $r = 22 cm$ and volume $V = 2000 cm$ .

$9.3173$