Max is building a spherical model of Earth. He is building his model using 2-inch long pieces of wood to construct the radius. The first time he tries to build the model, he uses 3 of the 2-inch pieces of wood end-to-end to make the radius of the model. a) What is the volume of the model in cubic inches? b) In order to purchase the right amount of paint for the outside of the model, Max needs to know the surface area. What is the surface area of the model in square inches? c) Max decides he wants the model to be larger. If he doubles the length of the radius, how many times larger is the volume?
Max is building a spherical model of Earth. He is building his model using 2-inch long pieces of wood to construct the radius. The first time he tries to build the model, he uses 3 of the 2-inch pieces of wood end-to-end to make the radius of the model. a) What is the volume of the model in cubic inches? b) In order to purchase the right amount of paint for the outside of the model, Max needs to know the surface area. What is the surface area of the model in square inches? c) Max decides he wants the model to be larger. If he doubles the length of the radius, how many times larger is the volume?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Max is building a spherical model of Earth. He is building his model using 2-inch long pieces of wood to construct the radius. The first time he tries to build the model, he uses 3 of the 2-inch pieces of wood end-to-end to make the radius of the model. a) What is the volume of the model in cubic inches? b) In order to purchase the right amount of paint for the outside of the model, Max needs to know the surface area. What is the surface area of the model in square inches? c) Max decides he wants the model to be larger. If he doubles the length of the radius, how many times larger is the volume?
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