Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

 
If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment
  

Example:Find Height of Cylinder

Post to:

Bookmark and Share



Explanation:

 

Cylinder (geometry)

 

A right circular cylinder

 

A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since deep antiquity.

 

Common use

In common use a cylinder is taken to mean a finite section of a right circular cylinder, i.e., the cylinder with the generating lines perpendicular to the bases, with its ends closed to form two circular surfaces, as in the figure (right). If the cylinder has a radius r and length (height) h, then its volume is given by

V = πr2h

and its surface area is:

§ the area of the top r2) +

§ the area of the bottom r2) +

§ the area of the side (rh).

Therefore without the top or bottom (lateral area), the surface area is:

A = 2πrh. (Our solved example in mathguru.com uses this concept)

 

With the top and bottom, the surface area is:

A = 2πr2 + 2πrh = 2πr(r + h).

For a given volume, the cylinder with the smallest surface area has h = 2r. For a given surface area, the cylinder with the largest volume has h = 2r, i.e. the cylinder fits in a cube (height = diameter)

 

http://en.wikipedia.org/wiki/Cylinder_(geometry)

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.