Find the radius $r$ of a cone if height $h = 3 cm$ and volume $V = 3.14 cm$ .

Answer

$0.3332 cm^{-} 1$

Explanation

To find radius $r$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 3.14 cm$ and $h = 3 cm$ we have:

3.14 cm = \frac{3 cm ^{2} \cdot r \cdot π}{3}

3.14 cm \cdot 3 = 3 cm^{2} \cdot r \cdot π

9.42 cm = 9 cm^{2} \cdot r \cdot π

r = \frac{9.42 cm}{9 cm ^{2} π}

r = 0.3332 cm^{-} 1

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Find the radius r of a cone if height h=3cm and volume V=3.14cm.

0.3332cm−1

Find the radius $r$ of a cone if height $h = 3 cm$ and volume $V = 3.14 cm$ .

$0.3332 cm^{-} 1$