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 4.6 .

Question 1
What is the area of the base?
Responses
A 7.56 in^2
B 12.65 in^2
C 1.89 pi^2
D 5.5 pi in^2
Question 2
How much space is there in the jar for Lara to fill with coffee powder

1 answer

Question 1: To find the area of the base of the jar, we use the formula for the area of a circle: A = πr^2, where r is the radius of the base. Given that the diameter of the jar is 2.75 in, the radius is half of that, so r = 2.75 / 2 = 1.375 in.

Plugging this into the formula, we get: A = π(1.375)^2 = π(1.890625) ≈ 5.94 in^2

So the closest answer is A) 7.56 in^2.

Question 2: To find the volume of the jar, we use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the base and h is the height of the jar.

Using the same radius as above (1.375 in) and the given height of 4.6 in, we get: V = π(1.375)^2(4.6) ≈ 27.33 in^3

Therefore, there is approximately 27.33 in^3 of space in the jar for Lara to fill with coffee powder.