Question

a cone shaped paper cup is 10 cm high and has a diameter of 8 cm using this cup about how many servings can you get from one liter of water ?

Answer 1

Volume of cone = 1/3 × pie × radius^2 × height
Volume of one cone = 1/3 × pie × (8/2)^2 × 10
= 1/3 × 16 × 10 × pie
= 160/3 × pie
{Approximately}~~~ 167.6cm^3 (rounded to nearest 1 decimal place)

1 litre = 1000cm^3

Number of servings = 1000 ÷ 167.6
{Approximately}~~~ 6 servings

Hope this helps! :)

Answer 2

You can get approximately 3 servings of water from 1 liter using this cone-shaped paper cup.

Calculating the number of servings:

Volume of the cup:

First, find the radius of the base: radius = diameter / 2 = 8 cm / 2 = 4 cm.

Next, calculate the volume of the cone: volume = ⅓ * π * radius^2 * height = ⅓ * π * 4^2 * 10 = 160π cm³.

Volume of one serving:

Assume a standard serving size of 200 milliliters (ml).

Convert ml to cubic centimeters: 1 ml = 1 cm³, so 1 serving = 200 cm³.

Number of servings:

Divide the total volume of the cup by the volume of one serving: number of servings = total volume / volume per serving = 160π cm³ / 200 cm³ ≈ 2.51.

Rounding to nearest whole number:

Since we are dealing with servings, we should round the number to the nearest whole number. In this case, round 2.51 up to 3.

Therefore, you can get approximately 3 servings of water from 1 liter using this cone-shaped paper cup.