The circular base of a right cylinder has a radius of 3. The volume of the cylinder is kπ, where k is a constant. If the height of the cylinder is 4.72, what is the value of k?
The correct answer is 42.48.
current priority level - the Path to 550+ and higher
Let’s start by acknowledging that thanks to the Reference area, we are not compelled to know the formula for the volume of a right cylinder. Clicking on the Reference button, we can see that the formula we want here is $V = πr^2h$.
We are given the radius(3) and the height(4.72), so inputting them both within the formula, we arrive at….
Leaving the π as π, we can fire the numbers in to our calculators to arrive at a result of 42.48π.
Heading to the answer box, we realize that we are being told that the volume is kπ and that we’ve just determined that the number in front of π is 42.48, which is why we type in 42.48.😬
As a final comment here, if you don’t already have it on your board to essentially ignore the word “constant”, let’s put that idea on your board.