Find the radius $r$ of a cone if height $h = 6 cm$ and volume $V = 678.24 cm$ .

Answer

$17.9909 cm^{-} 1$

Explanation

To find radius $r$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 678.24 cm$ and $h = 6 cm$ we have:

678.24 cm = \frac{6 cm ^{2} \cdot r \cdot π}{3}

678.24 cm \cdot 3 = 6 cm^{2} \cdot r \cdot π

2034.72 cm = 36 cm^{2} \cdot r \cdot π

r = \frac{2034.72 cm}{36 cm ^{2} π}

r = 17.9909 cm^{-} 1

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Find the radius r of a cone if height h=6cm and volume V=678.24cm.

17.9909cm−1

Find the radius $r$ of a cone if height $h = 6 cm$ and volume $V = 678.24 cm$ .

$17.9909 cm^{-} 1$