Question

find the volume of this object. use 3 for π. volume of a cylinder v = πr²h volume of a rectangular prism v = lwh v ≈ ?ft³

Explanation:

Step1: Calculate cylinder volume

$V_{cylinder}=\pi r^{2}h$, radius $r = \frac{4}{2}=2$ ft, $h = 12$ ft, $\pi = 3$. So $V_{cylinder}=3\times2^{2}\times12=3\times4\times12 = 144$ $ft^{3}$.

Step2: Calculate rectangular - prism volume

$V_{prism}=lwh$, $l = 10$ ft, $w = 6$ ft, $h = 6$ ft. So $V_{prism}=10\times6\times6=360$ $ft^{3}$.

Step3: Calculate total volume

$V = V_{cylinder}+V_{prism}=144 + 360=504$ $ft^{3}$.

Answer:

$504$