Georgia works at the Yogurt Shoppe. She is able to scoop yogurt into perfectly round scoops that have a radius of 6 cm. If Mary buys a triple scoop of yogurt in a cup, how much yogurt will Georgia give Mary? Use 3.14 for π and round answer to the nearest whole cm. Include units written out such as inches, square feet or cubic meters.

To find the amount of yogurt Georgia will give Mary, we need to calculate the volume of a single scoop and then multiply it by 3.

The volume of a sphere can be calculated using the formula: V = (4/3)πr^3, where V is the volume and r is the radius.

Plugging in the values, we have:
V = (4/3) * 3.14 * (6 cm)^3

V ≈ 904.32 cm^3

Since a triple scoop consists of 3 single scoops, we need to multiply the volume by 3. Therefore:
Volume of triple scoop = 3 * 904.32 cm^3

Volume of triple scoop ≈ 2,712.96 cm^3

Rounding to the nearest whole centimeter, Georgia will give Mary approximately 2,713 cm^3 of yogurt.

To find the volume of the yogurt that Georgia will give Mary, we need to calculate the volume of each scoop and then multiply it by 3 (since Mary is buying a triple scoop).

The volume of a sphere can be calculated using the formula V = (4/3) * π * r^3, where V is the volume and r is the radius.

Let's calculate the volume of one scoop first:

V = (4/3) * 3.14 * 6^3
V = (4/3) * 3.14 * 216
V = 904.32 cm³

Now, since Mary is buying a triple scoop, we multiply the volume of one scoop by 3:

V_total = 904.32 cm³ * 3
V_total = 2712.96 cm³

Rounded to the nearest whole cm, Georgia will give Mary approximately 2713 cm³ of yogurt.

Volume of a sphere =(4/3)π r^3

you have 3 of them, so the total volume
= 4π (6^3) cm^3
= 864π cm^2
or appr 2714 cm^3

(why use such a poor approximation of π if almost all calculators have the π constant built in ?
I am sure you are going to use a calculator anyway. )