We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
329
1
avatar

a cylinder has a volume of 3meters cubed and a radius of 0.8meters what is the hieght

 Sep 18, 2017
 #1
avatar+22188 
0

a cylinder has a volume of 3meters cubed and a radius of 0.8meters what is the height ?

 

Let r = radius
Let V = volume
Let h = height

 

\(\begin{array}{|rcll|} \hline V &=& \pi r^2 h \\ 3 &=& \pi \cdot (0.8)^2 \cdot h \\ 4.6875 &=& \pi h \quad & | \quad : \pi \\ \frac{4.6875}{\pi} &=& h \quad & | \quad \pi = 3.14159265359 \\ \frac{4.6875}{3.14159265359} &=& h \\ \mathbf {1.49207759149} &\mathbf {=} & \mathbf {h} \\ \hline \end{array}\)

         
The height of the cylinder is \(\mathbf{ \approx 1.5\ m}\)

 

laugh

 Sep 19, 2017

13 Online Users

avatar