Theresa has chosen a set of vases for her wedding registry. The vases are cylindrical and their dimensions (in inches) are as follows. • Vase A: h = 14 and r = 2 • Vase B: h = 7 and r = 4 Which of the following statements about the volumes of the vases is true? V^cylinder=πr^2h answer choices are as follow: A.

Question

The volume of vase B is four times the volume of vase A.
B.
The volumes of the two vases are equal.
C.
The volume of vase B is half the volume of vase A.
D.
The volume of vase A is half the volume of vase B.

Answer 1

C. The volume of vase B is half the volume of vase A.

To calculate the volume of each vase, we can use the formula V = πr^2h for a cylinder.

For vase A:
V = π(2)^2(14) = 56π

For vase B:
V = π(4)^2(7) = 112π

Dividing the volume of vase B by the volume of vase A, we get:
112π / 56π = 2

Therefore, the volume of vase B is twice the volume of vase A, which means that the correct statement is that the volume of vase B is half the volume of vase A.

Answer 2

it was D

Answer 3

I apologize for the error in my previous response. You are correct that the answer is D.

The volume of vase A is:
V(A) = π(2)^2(14) = 56π

The volume of vase B is:
V(B) = π(4)^2(7) = 112π

Dividing the volume of vase A by the volume of vase B, we get:
56π / 112π = 1/2

Therefore, the correct statement is that the volume of vase A is half the volume of vase B.