Question

Two cans of vegetables were measured. Can A is 10 centimeters in diameter and has a height of 10.5 cm. Can B has a height of 11 cm and a diameter of 7.5 cm. Which can has the greater volume?

Responses
A The two cans have equal volumes.The two cans have equal volumes.
B More information is needed to solve the problem.More information is needed to solve the problem.
C Can BCan B
D Can A

Answer 1

To find the volume of a cylinder, use this formula: V = (pi)(r^2)(h)
We'll use 3.14 for pi.
Can A:
Diameter = 10
Radius = 5
Height = 10.5
Because the radius is half that of the diameter.
C = 3.14 * (5^2) * 10.5 = 824.25
Can A Volume = 824.25
Can B:
Height = 11
Radius = 3.75
V = 3.14 * (3.75)* 11 = 129.525
Can B Volume = 129.525
Can A is bigger than Can B.

Answer 2

To find the volume of a cylinder, use this formula: V = (pi)(r^2)(h)
We'll use 3.14 for pi.

Can A:

Diameter = 10
Radius = 5
Height = 10.5

Because the radius is half that of the diameter.

C = 3.14 * (5^2) * 10.5 = 824.25

Can A Volume = 824.25

Can B:

Height = 11
Radius = 3.75

V = 3.14 * (3.75) * 11 = 129.525

Can B Volume = 129.525

Can A is bigger than Can B.