Question

4.7 volume of prisms and cylinders
what is the capacity in gallons of a cylindrical tank with a radius of 8 feet and an altitude of 50 feet if one cubic foot is equal to 1 gallon. use 3.14 for π and round your answer to the nearest whole gallon.

Explanation:

Step1: Recall cylinder volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height (altitude). Given $r = 8$ feet, $h=50$ feet and $\pi = 3.14$.

Step2: Substitute values into formula

$V=3.14\times8^{2}\times50$. First, calculate $8^{2}=64$. Then $V = 3.14\times64\times50$.

Step3: Perform multiplications

$3.14\times64 = 200.96$, and $200.96\times50=10048$ cubic - feet.

Step4: Convert to gallons

Since 1 cubic - foot is equal to 1 gallon, the capacity of the tank is 10048 gallons.

Answer:

10048