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 ACan A
B Can BCan B
C The two cans have equal volumes.The two cans have equal volumes.
D More information is needed to solve the problem.
B Can B
To calculate the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.
For Can A:
Radius = diameter/2 = 10/2 = 5 cm
V = π(5)^2(10.5) = 825π cm^3
For Can B:
Radius = diameter/2 = 7.5/2 = 3.75 cm
V = π(3.75)^2(11) = 483.75π cm^3
Since 825π cm^3 is greater than 483.75π cm^3, Can A has the greater volume.