Answer:
753.982236862
Step-by-step 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: [tex]c^2=a^2+b^2}[/tex]
The Pencil is 17cms long. So [tex]17^{2}[/tex]=[tex]{a^2+b^2}[/tex]
the height is 15cms long. So [tex]17^{2}[/tex]=[tex]15^2+b^2}[/tex]
We need to Solve for B, so we will subtract A from C since C is the longest side on the Triangle.
289-225=[tex]\sqrt{64\\}[/tex] = 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,
[tex]\pi *4^{2} *15[/tex]=753.982236862
