Surface Area & Volume

[Mathhelp101]

A plastic beaker has a height of 12 cm and a circular base of diameter 8 cm
a) Calculate the volume of the beaker
b) What is the surface area?

Help is much appreciated

 

[mmm4444bot]

Are you able to explain what type of help you expect? Please be complete.

I'm a bit confused because (1) your request for help is very vague, as I have no idea what you've already tried or thought about, and (2) beakers come in many different shapes with circular bottoms and 12cm heights.

If nobody told you what the beaker shape is, then tell your teacher that you had to guess, and use a cylindrical shape.

Would you like the formulas for volume and surface area of a cylinder?

Here is a link to our FORUM GUIDELINES.

Cheers :cool:

 

[HallsofIvy]

My image of a chemistry "flask" is a truncated cone with larger base on the bottom. But since this problem only gives one diameter, all you can do is assume a cylinder. The volume of a cylinder, of radius r and height h, is $\displaystyle \pi hr^2$, the area of a base times the height. To find the surface area note that the top and bottom area circles of radius r (area $\displaystyle \pi r^2$) (but do you want to count both top and bottom? The flask is open at the top isn't it?). To find the area of the sides, notice that you can, after taking off the top and bottom, "cut" it from top to bottom and flatten it down to a rectangle. The length of one side will be h, the height, and the length the other will be the circumference of the top and bottom circles.