+0  
 
0
341
4
avatar

what is the volume of frustum with diameters of 30cm and 15cm and a height of 25cm?

Guest Oct 28, 2014

Best Answer 

 #4
avatar+92781 
+5

YES IT IS!!!

Melody  Oct 28, 2014
 #1
avatar+87301 
+5

The volume of a frustum is gven by.....

V = (pi*h/3)(R2 + Rr + r2

Where h is the height, R , r are the larger and smaller radii, respectively 

So.... h = 25   R = 15 and r = 7.5......so we have

V = pi*(25/3)(152 + (15)(7.5) + 7.52) .......using the on-site calculator

$${\mathtt{\pi}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{25}}}{{\mathtt{3}}}}{\mathtt{\,\times\,}}\left({{\mathtt{15}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}\left({\mathtt{15}}{\mathtt{\,\times\,}}{\mathtt{7.5}}\right){\mathtt{\,\small\textbf+\,}}{{\mathtt{7.5}}}^{{\mathtt{2}}}\right)\right) = {\mathtt{10\,308.350\: \!894\: \!591\: \!509\: \!063\: \!7}}$$

about 10,308.35 cm3

 

CPhill  Oct 28, 2014
 #2
avatar+92781 
+5

I had to look up what  a frustum was

http://www.mathwords.com/f/frustum.htm

Melody  Oct 28, 2014
 #3
avatar+87301 
+5

It's a fancy term for a  "lampshade"...........LOL!!!

 

CPhill  Oct 28, 2014
 #4
avatar+92781 
+5
Best Answer

YES IT IS!!!

Melody  Oct 28, 2014

5 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.