Question

1. noah is deciding which of 2 juice containers he should buy. one container is in the shape of a cylinder with radius 3.5 centimeters and height 12.5 centimeters. the second container is in the shape of a rectangular prism. the prism also has height 12.5 centimeters. its length is 6.4 centimeters and its width is 4 centimeters. which juice container has the larger volume? click submit after typing your answer and a sample response will show. you will not be able to edit your response after submitting.

Explanation:

Step1: Calculate the volume of the cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Given \(r = 3.5\) cm and \(h=12.5\) cm.

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Step2: Calculate the volume of the rectangular prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). Given \(l = 6.4\) cm, \(w = 4\) cm and \(h = 12.5\) cm.

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Answer:

The cylindrical juice container has a larger volume.