Let's recall the formula for the volume of a cylinder, where r is its radius and h is its height.
V=π r^2 h
Let's first find the height of the cylinder and then calculate its volume.
Finding the Height of the Cylinder
We can see from the diagram that the cylinder's diameter is 11in. With the given diagonal of length 14in. and the height h they form a right triangle.
We can use the Pythagorean Theorem to calculate the cylinder's height.
a^2+b^2=c^2
We know that a = 11 in. and c = 14 in. Let's use this information to find the length of b.
We have found that the height of the given cylinder, b, is approximately 8.66.
Calculating the Volume of the Cylinder
We are given the diameter of the cylinder. Let's recall the relation between the diameter and radius of a circle.
d=2r
We can substitute the diameter into the formula and calculate r.
