Question

Use the image to answer the question what shape has the larger volume and how much larger is it 3 in 5 in and 8.41 in

Answer 1

The shape with the larger volume is the cylinder, which has a height of 8.41 inches and a radius of 5 inches.

To calculate the volume of the cylinder, we use the formula V = πr^2h, where r is the radius and h is the height.

For the cylinder:
V = π(5^2)(8.41) = π(25)(8.41) = 628.318 cubic inches

The volume of the rectangular prism is:
V = lwh = 3(5)(8.41) = 126.3 cubic inches

Therefore, the cylinder has a volume that is 628.318 - 126.3 = 502.018 cubic inches larger than the rectangular prism.