Question

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

Answer 1

Answer:

d) volume of A is half volume of B

Step-by-step explanation:

The question is incomplete without the diagram of the paper cups to be used for the water fountain.

Find attached the complete question which has the diagram that would be used to answer the question.

To determine the answer, let's check the options provided.

a) volume of A and B are equal

The shape is a cone.

Volume of cone = (1/3)(π × r^2 ×h)

For cone A:

Radius = r, height = 2r

Volume of A = (1/3)(π × r^2 × 2r)

Volume of A = (2/3)(π × r^3)

For cone B:

Radius = 2r, height = r

Volume of B = (1/3)(π × (2r)^2 × r)

= (1/3)(π ×4 ×r^2 ×r)

Volume of B = 4/3(π × r^3)

Volume of B = 2(2/3)(π × r^3)

Volume of B = 2×Volume of A

Therefore option A is wrong

b) volume of B is half volume of A

Option B is wrong

c) volume of B is 4 times volume of A

Option C is wrong

d) volume of A is half volume of B

Volume of B = 2×Volume of A

1/2(Volume of B)= Volume of A

Option D is correct