Find the radius $r$ of a cone if height $h = 19 cm$ and volume $V = 4474.5 cm$ .

Answer

$11.8361 cm^{-} 1$

Explanation

To find radius $r$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 4474.5 cm$ and $h = 19 cm$ we have:

4474.5 cm = \frac{19 cm ^{2} \cdot r \cdot π}{3}

4474.5 cm \cdot 3 = 19 cm^{2} \cdot r \cdot π

13423.5 cm = 361 cm^{2} \cdot r \cdot π

r = \frac{13423.5 cm}{361 cm ^{2} π}

r = 11.8361 cm^{-} 1

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Find the radius r of a cone if height h=19cm and volume V=4474.5cm.

11.8361cm−1

Find the radius $r$ of a cone if height $h = 19 cm$ and volume $V = 4474.5 cm$ .

$11.8361 cm^{-} 1$