Level:
Project ID:
1003118703
Accepted:
1
Clonable:
0
Easy:
0
A right trapezoid is bounded by \( y=ax+1 \), \( x=0 \), \( x=6 \), and by the \( x \)-axis. Rotating the trapezoid around the \( x \)-axis we get a truncated cone. Find the value of the parameter \( a > 0 \) so that the volume of the truncated cone is \( 26\pi \).
\( a=\frac13 \)
\( a=\frac12 \)
\( a=3 \)
\( a=2 \)