Find the height $h$ of a cone if radius $r = 1 cm$ and volume $V = 3.14 cm$ .

Answer

$1.7316$

Explanation

To find height $h$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 3.14 cm$ and $r = 1 cm$ we have:

3.14 cm = \frac{h ^{2} \cdot ( 1 cm ) ^{4} \cdot π}{3}

3.14 cm \cdot 3 = h^{2} \cdot (1 cm)^{4} \cdot π

9.42 cm = 1 cm \cdot h^{2} \cdot π

h^{2} = \frac{9.42 cm}{1 cm π}

h^{2} \approx 2.9985

h \approx 2.9985

h \approx 1.7316

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Find the height h of a cone if radius r=1cm and volume V=3.14cm.

1.7316

Find the height $h$ of a cone if radius $r = 1 cm$ and volume $V = 3.14 cm$ .

$1.7316$