Canadian Forces Aptitude Test (CFAT) Practice

Question: 1 / 400

What is the volume of a cylinder expressed by the formula V = πr²h, if the volume is known to be 141.3 m³ and its height is 5 m? Calculate the radius.

2 m

3 m

To find the radius of the cylinder given the volume and height, we can start with the formula for the volume of a cylinder:

\[ V = \pi r^2 h \]

We know that the volume \( V \) is 141.3 m³ and the height \( h \) is 5 m. Plugging these values into the formula, we can solve for the radius \( r \).

1. Substitute the known values into the equation:

\[ 141.3 = \pi r^2 \times 5 \]

2. Now, divide both sides by 5:

\[ \frac{141.3}{5} = \pi r^2 \]

\[ 28.26 = \pi r^2 \]

3. Next, solve for \( r^2 \) by dividing both sides by \( \pi \):

\[ r^2 = \frac{28.26}{\pi} \]

4. Using the approximate value of \( \pi \) as 3.14, we calculate:

\[ r^2 \approx \frac{28.26}{3.14} \approx 9 \]

5. Finally, take

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4 m

5 m

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