So this is a right triangle.
His area =6×8÷2= 10× height ÷2.
So the height on the hypotenuse =48÷ 10=4.8.
Rotate to get two cones.
Their grounding radius is 4.8 cm.
The highest sum is 10.
So the volume = 3.14× 4.8× 4.8×10 ÷ 3 = 241.152 cubic centimeters.