SOLUTION: I need help understanding how to find the volume of a cylinder when the diameter is 6 yards and there is a slanted line in the cylinder from top to bottom that is 10 yards. Pleas

Algebra ->  Volume -> SOLUTION: I need help understanding how to find the volume of a cylinder when the diameter is 6 yards and there is a slanted line in the cylinder from top to bottom that is 10 yards. Pleas      Log On


   

Question 1031919: I need help understanding how to find the volume of a cylinder when the diameter is 6 yards and there is a slanted line in the cylinder from top to bottom that is 10 yards. Please help me, I have no idea how to do this.
Thank you,
September
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
That slanted line could be part of a cross section through the middle of the cylinder. One may imagine or GUESS from your description that you may have a rectangular cross section and the slanted SEGMENT (NOT a line) is a diagonal of the rectangle. One would then draw or imagine the rectangle split into two right triangles.

Let y be the length of one leg, and take 6 as the other leg.
y%5E2%2B6%5E2=10%5E2


Solve for y, and then use formula for volume of a cylinder to calculate and evaluate the volume.