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?

Answer 1

To calculate the volume of each can, we will use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.

For Can A:
Radius = diameter/2 = 10 cm / 2 = 5 cm
Volume = π(5 cm)^2(10.5 cm) = π(25 cm^2)(10.5 cm) = 825π cm^3

For Can B:
Radius = diameter/2 = 7.5 cm / 2 = 3.75 cm
Volume = π(3.75 cm)^2(11 cm) = π(14.0625 cm^2)(11 cm) = 154.6875π cm^3

Comparing the volumes of the two cans:
Can A: 825π cm^3
Can B: 154.6875π cm^3

Can A has the greater volume.