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 radius

The diameter of the cylinder is 4 ft, so the radius $r=\frac{4}{2}=2$ ft.

Step2: Calculate cylinder volume

Using the formula $V_{cylinder}=\pi r^{2}h$, with $\pi = 3$, $r = 2$ ft and $h = 5$ ft. So $V_{cylinder}=3\times2^{2}\times5=3\times4\times5 = 60$ $ft^{3}$.

Step3: Calculate rectangular - prism volume

Using the formula $V_{prism}=lwh$, with $l = 9$ ft, $w = 5$ ft and $h = 5$ ft. So $V_{prism}=9\times5\times5=225$ $ft^{3}$.

Step4: Calculate total volume

The total volume of the object $V = V_{cylinder}+V_{prism}=60 + 225=285$ $ft^{3}$.

Answer:

285