Question

find the volume of this object. use 3 for $pi$. volume of a cylinder $v = pi r^{2}h$ volume of a rectangular prism $v=ell wh$

Explanation:

Step1: Calculate cylinder radius

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

Step2: Calculate volume of cylinder

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

Step3: Calculate volume of rectangular prism

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

Step4: Calculate total volume

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

Answer:

285