Calling all NYC dwellers! Have you seen the new structure at Hudson Yards? A staircase to nowhere, this bee-hive like structure is for the true adventurists at heart; Clearly, I had to check it out!
Where does math come in here you say? Well, during my exploration, I had to wonder (as am sure most people do) what is the volume of this structure? What do you think the volume of the Vessel is? (Hint: feel free to approximate!)
Solution: I estimated the volume by using the formula of a three-dimensional cone. (Not an exact measurement of the Vessel, but close enough!) .
We can find the radius and height based on the given information above. Everything we need for our formula is right here!
Now that we have our information, let’s fill in our formula and calculate!
Extra Tip! Notice that we labeled the solution with feet cubed , which is the short-handed way to write “feet cubed.” Why feet cubed instead of feet squared? Or just plain old feet? When we use our formula we are multiplying three numbers all measured in feet:
radius X radius X (Height/3)
All three values are measured in feet! –> Feet cubed ()
Did you get the same answer? Did you use a different method or have any questions? Let me know in the comments and happy mathing! 🙂
Extra Tip! Notice that we added the labels feet/second to our answer. Why does this make sense?? The question tells us that P(t) represents feet and that t is equal to seconds. Another way to look at this question when applying it to the slope formula is to realize that we are finding the change of feet divided by the change of seconds. ____________________________________________________________________________________
Still got questions? Let me know in the comments and as always happy calculating!:)
Keep in touch with MathSux at these great sites!
*Extra Tip! Why does this formula work in the first place!?? If we draw lines creating and proving triangle RTQ and triangle RPS are similar by AA, this leads us to know that the two triangles have proportionate sides and can follow our formula! ___________________________________________________________________________________
Still got questions? Let me know in the comments and remeber having questions is a good thing!
Also, happy holidays from Mathsux! May your December break be filled with family, food, happiness, and maybe some math problems! 🙂
Don’t miss a MathSux beat on these great sites
Still got questions? Don’t hesitate to comment below for anything that still isn’t clear! 🙂
Also, please don’t forget to follow Mathsux at these great sites:
Happy Holidays from Mathsux! 🙂
In need of a bit of review on Simultaneous Equations? Well, now is your chance! Learn how to solve these confusing bad mama jamma’s in three different ways and choose which one works best for you!
I’m also excited to introduce my new YouTube page for MathSux! Hope these new set of videos help. Let me know if you have any more questions in the comments. Happy calculating! 🙂
Need more MathSux in your life? Follow us on these great sites!
~ Facebook ~ Twitter ~ YouTube ~
If you’re looking for more MathSux check us out on
Twitter and Facebook!
Happy math-ing! 🙂