To determine which can has the greater volume, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the base and h is the height.
For Can A:
Radius = 1/2 of diameter = 10/2 = 5 cm
Height = 10.5 cm
V(A) = π(5)^2(10.5) = 82.31π cm^3
For Can B:
Radius = 1/2 of diameter = 7.5/2 = 3.75 cm
Height = 11 cm
V(B) = π(3.75)^2(11) = 159.7π cm^3
Since 159.7π is greater than 82.31π, Can B has the greater volume. Therefore, the correct response is:
B) Can B
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 Can A
B Can B
C The two cans have equal volumes.The two cans have equal volumes.
D More information is needed to solve the problem.
1 answer