Find the volume $V$ of a cone if diameter $d = 8 cm$ and height $h = 8 cm$ .

Answer

$\frac{256}{3} π cm^{3}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 8 cm$ we have:

8 cm = 2 \cdot r

r = \frac{8 cm}{2}

r = 4 cm

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{h ^{2} \cdot r \cdot π}{3}

After substituting $r = 4 cm$ and $h = 8 cm$ we have:

V = \frac{64 cm ^{2} \cdot 4 cm \cdot π}{3}

V = \frac{256 cm ^{3} π}{3}

V = \frac{256}{3} π cm^{3}

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Find the volume V of a cone if diameter d=8cm and height h=8cm.

3256​πcm3

Find the volume $V$ of a cone if diameter $d = 8 cm$ and height $h = 8 cm$ .

$\frac{256}{3} π cm^{3}$