Assume you have a drop of 2 cm3 falling down. A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a cube=6*L2, where L is the length of the cube, and the factor of 6 as a cube has 6 faces). B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a sphere=4/3*pi*R³. Surface area of a sphere=4*pi*R?.) C) Find the surface area to volume ratios of both objects. Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?

Assume you have a drop of 2 cm3 falling down. A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a cube=6L2, where L is the length of the cube, and the factor of 6 as a cube has 6 faces). B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a sphere=4/3piR³. Surface area of a sphere=4pi*R?.) C) Find the surface area to volume ratios of both objects. Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 1.3CYU: Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of 107m...

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Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of 107m , so the order of magnitude of its surface area is 1014m2 . What is that in square kilometers (that is, km2)? (Try doing this both by converting 107m to km and then squaring it and then by converting 1014m2 directly to square kilometers. You should get the same answer both ways.)
The volume of Earth is on the order of 1021m3 . (a) What is this in cubic kilometers (km3) ? (b) What is it in cubic miles (mi3) ? (c) What is it in cubic centimeters (cm3) ?
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