A food court is investigating which paper cups to use for its water fountain. Which best compares the volumes of cup A and cup B?

D. The volume of A is half the volume of B

Step-by-step explanation:

Looking at the diagram of the paper cups used for its fountain, it is shaped as a cone.

Therefore, the volume of a cone =

1/3πr²h

Where r = radius and h = height

For Paper cup(cone) A

r = r

h = 2r

Volume of the cone = 1/3πr²h

= 1/3 × π × r² × 2r

= 1/3 × π × r² × 2(r)

= 1/3 × π × r² × 2 × r

= 2/3( πr³)

For Paper cup(cone) B

r = 2r

h = r

Volume of the cone = 1/3πr²h

= 1/3 × π × (2r)² × r

= 1/3 × π × 4r² × r

= 1/3 × π × 4r³

= 4/3( πr³)

Comparing the Volume of A to the Volume of B

2/3( πr³) : 4/3( πr³)

2/3( πr³) : 2[2/3( πr³)]

From the above ratio and comparison, we can see that The Volume of Cone B is twice the Volume of Cone A.

Therefore, this means The volume of A is half the volume of B

answer: 2 and 1

step-by-step explanation: got this question

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.