C L You are tasked with specifying the following structure. It is a cylinder attached to a sphere at one end. Unfortunately, you were not given all the dimensions. You know that the radius of the cylinder is one half (1/2) the radius of the sphere. What is the total volume of the structure as a function of the radius and length of the cylinder (you may neglect any excess volume at the join between sphere and cylinder). O a. V = πr²h+32r²/3 O b. V = r²(h+32r/3) O c. V = r²(th+32r/3) O d. V = r²(h+32/3)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 6P: Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 ...
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You are tasked with specifying the following structure. It is a cylinder attached to a sphere at
one end. Unfortunately, you were not given all the dimensions. You know that the radius of
the cylinder is one half (1/2) the radius of the sphere. What is the total volume of the
structure as a function of the radius and length of the cylinder (you may neglect any excess
volume at the join between sphere and cylinder).
O a. V = πr²h+32r²/3
O b. V = r²(h+32r/3)
O c. V = r²(th+32r/3)
O d. V = r²(h+32/3)
Transcribed Image Text:C L You are tasked with specifying the following structure. It is a cylinder attached to a sphere at one end. Unfortunately, you were not given all the dimensions. You know that the radius of the cylinder is one half (1/2) the radius of the sphere. What is the total volume of the structure as a function of the radius and length of the cylinder (you may neglect any excess volume at the join between sphere and cylinder). O a. V = πr²h+32r²/3 O b. V = r²(h+32r/3) O c. V = r²(th+32r/3) O d. V = r²(h+32/3)
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