9000100007

Level: 
Project ID: 
9000100007
Accepted: 
1
Clonable: 
0
Easy: 
1
The function \(f(x)= \sqrt{x}\) is graphed in the picture. Consider the region bounded by the graph of \(f\) on \([ 1;\, 4] \), lines \(x = 1\), \(x = 4\) and the \(x\)-axis. Find the volume of the solid of revolution obtained by revolving this region about the \(x\)-axis.
\(\frac{15} {2} \pi \)
\(\frac{17} {2} \pi \)
\(\frac{17} {2} \pi ^{2}\)
\(\frac{15} {2} \pi ^{2}\)