Question

the radius of a cylindrical water tank is 5.5 ft, and its height is 10 ft. what is the volume of the tank? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall volume formula for cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Given $r = 5.5$ ft, $h=10$ ft and $\pi = 3.14$. Substitute into the formula: $V=3.14\times(5.5)^{2}\times10$.

Step3: Calculate $(5.5)^{2}$

$(5.5)^{2}=5.5\times5.5 = 30.25$.

Step4: Calculate the product

$V=3.14\times30.25\times10=3.14\times302.5 = 949.85$ $ft^{3}$.

Step5: Round to nearest whole number

Rounding 949.85 to the nearest whole number gives 950 $ft^{3}$.

Answer:

950 $ft^{3}$