Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, and has a height of 9 cm and a base of 7 cm. What is volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?

A) 113 cm3.

B) 326 cm3.

C) 346 cm3.

D) 424 cm3.

is it B?

V,cube = sidelength^3

V,cube = (1 cm)^3
V,cube = 1 cm^3

Since there are 20 ice cubes, V = 20 cm^3

V,cylinder = pi * r^2 * h
V,cylinder = 3.14 * 3.5^2 * 9
V,cylinder = 346.185 cm^3

This is the volume of mug when full.

Since 20 cm^3 is allotted for the ice cube, thus,
346.185 - 20 = 326.185 cm^3

Yes it's B.
Hope this helps~ `u`

Jai is right^

(2020)

To find the volume of the coffee that will fill the mug after the ice cubes have been added, we first need to find the volume of the ice cubes and subtract it from the volume of the mug.

The volume of each ice cube can be calculated by multiplying the length, width, and height:
1 cm * 1 cm * 1 cm = 1 cm^3

Since there are 20 ice cubes, the total volume of the ice cubes is:
20 cm^3

To find the volume of the mug, we use the formula for the volume of a cylinder:
Volume = π * (radius)^2 * height

The radius of the mug's base is half of its diameter, which is 7 cm / 2 = 3.5 cm.

Substituting the values into the formula, we get:
Volume = π * (3.5 cm)^2 * 9 cm
Volume ≈ 346.36 cm^3

Finally, to find the volume of the coffee that will fill the mug after the ice cubes have been added, we subtract the volume of the ice cubes from the volume of the mug:
Volume of coffee = 346.36 cm3 - 20 cm3
Volume of coffee ≈ 326.36 cm3

Rounding to the nearest whole number, the volume of the coffee that will fill the mug is approximately 326 cm3.

Therefore, the correct answer is B) 326 cm3.

To find the volume of the coffee that will fill the mug after the ice cubes have been added, we need to calculate the volume of the ice cubes and subtract it from the volume of the mug.

First, let's calculate the volume of a single ice cube. Since each side of the ice cube measures 1 cm, the volume can be found by raising 1 cm to the power of 3 (1 cm * 1 cm * 1 cm). This gives us a volume of 1 cm³ per ice cube.

Next, we need to find the total volume of the ice cubes. Since there are 20 ice cubes, we can multiply the volume of a single ice cube by the number of ice cubes: 1 cm³/ice cube * 20 ice cubes = 20 cm³.

Now, let's calculate the volume of the mug. The volume of a cylindrical object can be found by multiplying the area of the base by the height. Since the base of the mug is circular and has a radius of half the diameter, we can use the formula for the area of a circle: π * (radius)². The radius of the base is half of the diameter, which is equal to half of 7 cm. So the radius is 7 cm / 2 = 3.5 cm. The area of the base is therefore π * (3.5 cm)².

The volume of the mug is then the area of the base multiplied by the height: π * (3.5 cm)² * 9 cm.

Now, we can subtract the volume of the ice cubes from the volume of the mug to find the volume of the coffee: (π * (3.5 cm)² * 9 cm) - 20 cm³.

Calculating this expression gives us approximately 325.48 cm³. Rounding this value to the nearest whole number, we get 326 cm³.

Therefore, the correct answer is B) 326 cm³.