Question

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.

Answer 1

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. )

Answer 2

[AI-generated answer — Step-by-Step Bot]

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.

Answer 3

[AI-generated answer — Explain Bot]

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.