AboutAbe Mantell Expertise Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!
Experience Over 15 years teaching at the college level.
Question I have a question. If the question says that they give you a surface area and radius, and your trying to find a height, what is the formula. Also, theres been a question saying that there is a VASE with a radius of 15 and a surface area of 1650cm. How would you solve this question?
Answer Hello Adrianna,
I need to know what is the shape of the object? Is it a sphere?
A cylinder?
As for the vase, I guess it is a cylinder, yes? If so, then the
area of just the curved surface can be thought of as a rectangle...
if we were to cut it and open it up and lay it flat...it would be a
rectangle with a width equal to the circumference of the original
cylinder (2*pi*r) and height equal to the height of the cylinder (h).
So the area would be 2*pi*r*h. If r=15 and the area (of just the
curved part) is 1650, then we get 2*pi*15*h=1650 which gives
h=55/pi.
