Find the radius $r$ of a cone if height $h = 34.2 cm$ and volume $V = 2772.0422 cm$ .

Answer

$2.2632 cm^{-} 1$

Explanation

To find radius $r$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $V = 2772.0422 cm$ and $h = 34.2 cm$ we have:

2772.0422 cm = \frac{34.2 cm ^{2} \cdot r \cdot π}{3}

2772.0422 cm \cdot 3 = 34.2 cm^{2} \cdot r \cdot π

8316.1266 cm = 1169.64 cm^{2} \cdot r \cdot π

r = \frac{8316.1266 cm}{1169.64 cm ^{2} π}

r = 2.2632 cm^{-} 1

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Find the radius r of a cone if height h=34.2cm and volume V=2772.0422cm.

2.2632cm−1

Find the radius $r$ of a cone if height $h = 34.2 cm$ and volume $V = 2772.0422 cm$ .

$2.2632 cm^{-} 1$