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 a cylinder, you can use the formula V = πr^2h, where r is the radius of the base and h is the height.

For Can A:
Radius (r) = 10 cm / 2 = 5 cm
Height (h) = 10.5 cm

V(A) = π(5 cm)^2(10.5 cm) = 825π cm^3

For Can B:
Radius (r) = 7.5 cm / 2 = 3.75 cm
Height (h) = 11 cm

V(B) = π(3.75 cm)^2(11 cm) = 162.5625π cm^3

Comparing the two volumes:

V(A) = 825π cm^3 ≈ 2588.03 cm^3
V(B) = 162.5625π cm^3 ≈ 510.97 cm^3

Therefore, Can A has the greater volume.