Answer:
To determine if the two cylinders would hold the same amount of sugar, we can compare their volumes. The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height.
Let's calculate the volumes of the two cylinders:
Cylinder 1:
Radius = 10 cm
Height = 15 cm
V1 = π(10^2)(15) = 1500π cm^3
Cylinder 2:
Radius = 15 cm
Height = 10 cm
V2 = π(15^2)(10) = 2250π cm^3
Since π (pi) is a constant, we can see that the volume of Cylinder 2 (V2 = 2250π cm^3) is greater than the volume of Cylinder 1 (V1 = 1500π cm^3).
Therefore, the cylinder with a radius of 15 cm and a height of 10 cm would hold a greater amount of sugar compared to the cylinder with a radius of 10 cm and a height of 15 cm.