Given:
Radius of the cone = 3 inches
Height of the cone = 8 inches
To find:
The volume of the cone, in terms of π.
Solution:
We know that, the volume of a cone is:

Putting
, we get




Therefore, the volume of the cone is
.
C.) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We are given the function:

And we want to find:

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:

Since we are approaching from the left, we will use the first equation:

By direct substitution:

Right-Hand Limit:

Since we are approaching from the right, we will use the second equation:

Direct substitution:

So, we can see that:

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

Our answer is A.