A cylindrical mug of hot chocolate measures 9.2 cm in diameter and has a height of 12.6 cm. The top 2.5 cm of the mug is filled with whipped cream; the rest is hot chocolate. Rounding to the nearest mL, how much hot chocolate is in the mug? (1 cubic centimeter = 1 liter)

The height of the cylindrical column of hot chocolate is

H = 12.6 - 2.5 = 10.1 cm.

The volume of hot chocolate is
V = pi*(d^2/4)*H
where d = 9.2 cm is the diameter.

V = 67.1 cm^3

That is less than 3 fluid ounces.

I get = 671.4 cm^2

Perhaps DrWls must have missed a decimal place.

Yes, seems like I did.

To find the volume of the hot chocolate in the mug, we'll need to calculate the volume of the entire mug and subtract the volume of the whipped cream.

Step 1: Calculate the volume of the entire mug
The mug is in the shape of a cylinder, so we can use the formula for the volume of a cylinder:

Volume of a cylinder = π * (radius)^2 * height

First, we need to find the radius, which is half the diameter:
radius = diameter / 2 = 9.2 cm / 2 = 4.6 cm

Now, we can calculate the volume of the entire mug:
Volume of the mug = π * (4.6 cm)^2 * 12.6 cm

Step 2: Calculate the volume of the whipped cream
The whipped cream fills the top 2.5 cm of the mug, so we need to calculate the volume of this section. Since it is a cylinder shape with the same radius as the mug, we can use the same formula for the volume of a cylinder:

Volume of the whipped cream = π * (4.6 cm)^2 * 2.5 cm

Step 3: Calculate the volume of the hot chocolate
To find the volume of the hot chocolate, we subtract the volume of the whipped cream from the volume of the entire mug:

Volume of the hot chocolate = Volume of the mug - Volume of the whipped cream

Now, let's plug in the values and calculate the volume of the hot chocolate:

Volume of the hot chocolate ≈ (π * (4.6 cm)^2 * 12.6 cm) - (π * (4.6 cm)^2 * 2.5 cm)

Using a calculator, we can calculate this value:

Volume of the hot chocolate ≈ 261.25 cm^3

Now, since 1 cm^3 is equal to 1 mL, the volume of the hot chocolate is approximately 261.25 mL (rounded to the nearest mL).