Question

(score for question 3: ___ of 5 points) 3. the cylindrical giant ocean tank at the new england aquarium in boston is 24 feet deep and has a radius of 18.8 feet. find the volume of the tank. use 3.14 for pi and round your answer to the nearest tenth if necessary. answer: |

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height (or depth, in this case).

Step2: Identify the values of \( r \), \( h \), and \( \pi \)

We are given that \( r = 18.8 \) feet, \( h=24 \) feet, and \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=(18.8)^{2}=18.8\times18.8 = 353.44 \)

Then, multiply by \( \pi \) and \( h \): \( V=3.14\times353.44\times24 \)

First, calculate \( 3.14\times353.44 \): \( 3.14\times353.44 = 1110.8016 \)

Then, multiply by 24: \( 1110.8016\times24=26659.2384 \)

Step4: Round to the nearest tenth (if necessary)

The value \( 26659.2384 \) rounded to the nearest tenth is \( 26659.2 \) (since the digit in the hundredth place is 3, which is less than 5, we don't round up the tenths place).

Answer:

\( 26659.2 \) cubic feet