Erin is making a pitcher of lemonade. Her pitcher is a cylinder with a diameter of 8.6x10^-2 meters and a height of 0.44 meters. What is the approximate total amount of lemonade that will fit in her pitcher?
A.2.6 x10^-3 cubic meters
B.1.0x10^-3 cubic meters
C.2.6x10^-2 cubic meters
D.1.0x10^-2 cubic meters
Please help me on this question.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
r = 1/2d
V = π r^2 h = π (4.3*10^-2)^2 * .44 = ?
π = 3.14
Take it from here.
To find the approximate total amount of lemonade that will fit in Erin's pitcher, we need to calculate the volume of the cylinder. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height.
First, let's find the radius. The diameter is given as 8.6x10^-2 meters, and we can calculate the radius by dividing the diameter by 2:
radius = diameter/2 = 8.6x10^-2 / 2 = 4.3x10^-2 meters
Now we have the radius and the height, we can calculate the volume of the cylinder using the formula:
V = πr^2h
V ≈ π(4.3x10^-2)^2(0.44)
V ≈ 3.14 * (4.3x10^-2)^2 * 0.44
Now, multiply each component:
V ≈ 3.14 * 1.849x10^-3 * 0.44
Perform the multiplication:
V ≈ 2.6x10^-3 cubic meters
Therefore, the approximate total amount of lemonade that will fit in Erin's pitcher is approximately 2.6x10^-3 cubic meters.
So, the correct answer is A. 2.6 x 10^-3 cubic meters.