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March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!

March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!
Transcribed Image Text:March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!
March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!
Transcribed Image Text:March 14th, is known as Pi Day, since the date is written as 3/14, and the most frequently used estimate of pi is 3.14. This bonus problem involves using pi to solve a problem about ice cream. Suppose that a spherical scoop of ice cream has a radius of 1.4 inches, while the cone in which it's placed has a radius of 1.7 inches, and a height of 3.4 inches. If the scoop is left to melt into the cone, does the cone have a large enough volume to contain the entire scoop? If so, how much room is there leftover? If not, how much ice cream spills over? Here are the formulas you need to use: VOLUME OF A SPHERE: VOLUME OF A CONE: V=%,r² V = ₁r²h You should use pi rounded off to 3.14, and all your final answers should also be rounded off to two decimal places. (Don't forget proper units, too!) As usual, all steps towards solving the problem are required. Good luck!
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