Answer:
Height of the pine tree = 60 in.
Step-by-step explanation:
Since, triangle formed by the tip of the tree and tip of the shadow of the tree will be similar to each other,
By the property of similarity, corresponding sides of the similar triangles will be proportional.
If d = 12 inches,
x =
x = 60 in.
Therefore, height of the pine tree will be 60 in.
Step-by-step explanation:
Since one of the boundaries is y = 0, we need to find the roots of the function . Using the quadratic equation, we get
But since the region is also bounded by , that means that our limits of integration are from
(instead of -3) to
.
Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by