Question

Lara is filling a jar with coffee powder. The diameter of the jar is 2.75 in
and the height she plans on filling the jar to is 4.6in
.



Question 1
What is the area of the base?
Responses
A
B
C
D
Question 2
How much space is there in the jar for Lara to fill with coffee powder?
Responses
A
B
C
D

Answer 1

To answer your questions, let's start with some calculations.

### Question 1: What is the area of the base?

The base of the jar is a circle. The area \( A \) of a circle can be calculated using the formula:

\[
A = \pi r^2
\]

where \( r \) is the radius of the circle.

1. First, we need to find the radius. The diameter of the jar is 2.75 inches, so the radius is:

\[
r = \frac{diameter}{2} = \frac{2.75}{2} = 1.375 \text{ inches}
\]

2. Now, we can plug the radius into the area formula:

\[
A = \pi (1.375)^2 \approx 3.14 \times 1.890625 \approx 8.561 \, \text{square inches}
\]

So, the area of the base is approximately **8.56 square inches**.

### Question 2: How much space is there in the jar for Lara to fill with coffee powder?

To find the volume of the jar, we can use the formula for the volume \( V \) of a cylinder:

\[
V = A \times h
\]

where \( A \) is the area of the base we calculated earlier, and \( h \) is the height.

1. The height is given as 4.6 inches.

2. Now, we can calculate the volume:

\[
V = A \times h \approx 8.56 \, \text{in}^2 \times 4.6 \, \text{in} \approx 39.416 \, \text{cubic inches}
\]

So, there is approximately **39.42 cubic inches** of space for Lara to fill with coffee powder.

### Summary
- **Question 1**: Area of the base is approximately **8.56 square inches**.
- **Question 2**: Space in the jar for coffee powder is approximately **39.42 cubic inches**.