A can of juice in aluminium of standard cylindrical size has a circumference of 18.85 cm and a height of 12 cm. The amount of juice content in the can corresponds approximately at 95% of its capacity.Task: determine whether the dimensions of a new can of juicecould save a minimum of 30% of materials by keeping the samevolume. Choose from the suggested choices.This can of juice must meet the following conditions :The capacity of the can should be the same.The can must be cylindrical in shape.The new dimensions must allow for a minimum of 30% ofmaterial.Choice of answersa) Yes, it is possible with a can with a radius of 3.5 cm and a height of 6 cm.b) Yes, this is possible since the allowable amount of aluminum that can be removed is greater than 199 cm2.c) Yes, it is possible and we can save about 85 cm2 of aluminum.d) Yes, it is possible since the initial radius of the can is 3 dm.

First calculate the volume and area of original can. Since the can is cylindrical, the formula for…

Answered: A can of juice in aluminium of standard…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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A can of juice in aluminium of standard cylindrical size has a circumference of 18.85 cm and a height of 12 cm. The amount of juice content in the can corresponds approximately at 95% of its capacity.
Task: determine whether the dimensions of a new can of juice
could save a minimum of 30% of materials by keeping the same
volume. Choose from the suggested choices.

This can of juice must meet the following conditions :

The capacity of the can should be the same.
The can must be cylindrical in shape.
The new dimensions must allow for a minimum of 30% of
material.

Choice of answers
a) Yes, it is possible with a can with a radius of 3.5 cm and a height of 6 cm.
b) Yes, this is possible since the allowable amount of aluminum that can be removed is greater than 199 cm2.
c) Yes, it is possible and we can save about 85 cm2 of aluminum.
d) Yes, it is possible since the initial radius of the can is 3 dm.

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