Question

a small bottle of Dr Pepper holds 3.2cm3 of the delicious drink. for a New Year's Eve party, you need enough Dr pepper to fill 6 cone-shaped glasses that have 4cm diameter and a 3 cm height, how many full bottles of Dr pepper would you need to buy to completely fill the 6 glasses you need?​

Answer 1

To completely fill 6 cone-shaped glasses that have 4cm diameter and a 3 cm height with Dr Pepper, you would need 4 full bottles of Dr Pepper. This is because each full bottle of Dr Pepper holds 3.2 cm3 of the beverage, and each glass holds 12 cm3. Thus, 4 bottles of Dr Pepper would be enough to fill 6 glasses with a total volume of 72 cm3.

Answer 2

Answer: Therefore, you would need to buy 24 bottles of Dr Pepper to completely fill the 6 glasses for your New Year's Eve party.

Explanation:

Step 1: Calculate the volume of one glass.

We can use the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone. The radius of the cone is half of its diameter, or 2cm. Thus, the volume of one glass is V = (1/3)π(2cm)^2(3cm) = 12.56cm^3.

Step 2: Calculate the number of bottles needed.

Now we can calculate the number of bottles needed to fill 6 glasses. We need 6 glasses, each with a volume of 12.56cm^3. Therefore, we need 6 × 12.56cm^3 = 75.36cm^3 of Dr Pepper in total. Since each bottle contains 3.2cm^3 of Dr Pepper, we need to divide 75.36cm^3 by 3.2cm^3 to calculate the number of bottles required. This gives us (75.36cm^3)/(3.2cm^3) = 23.6 bottles of Dr Pepper.

Therefore, you would need to buy 24 bottles of Dr Pepper to completely fill the 6 glasses for your New Year's Eve party.