Answer:
753.982236862
Explanation:
1) Cut Cylinder in half, perpendicular to the circle face. Effectively making a rectangle face. The Pencil diagnolly reaching from the top corner to the bottom corner act like a divider which splits the rectangle into 2 triangles. Which allows for us to use Pythagorem theorem.
pythagorean theorem:

The Pencil is 17cms long. So
=

the height is 15cms long. So
=

We need to Solve for B, so we will subtract A from C since C is the longest side on the Triangle.
289-225=
= 8
b=8
b is the diameter of the Cylinder
Since we need the Radius squared for Cylinder we divide the Diameter in half. 8/2=4
4X4=16
Next we wil figure out the Volume,
=753.982236862