Darrell works for an ad agency that is looking to place a poster on a large cylindrical tank just off a busy highway. The poster can only cover half of the side of the tank, so that drivers will be able to see the entire advertisement. The surface area of the poster is 4,200 ft2. The tank is a right cylinder with a height of 42 ft and a radius of 30 ft. Will this tank be large enough for the poster that the agency wants to use? Explain why or why not. If not, determine the minimum radius to the nearest foot of a cylindrical tank that would meet the agency's requirements. The height of the tank will not change. Round your answer to the nearest whole number.
Darrell works for an ad agency that is looking to place a poster on a large cylindrical tank just off a busy highway. The poster can only cover half of the side of the tank, so that drivers will be able to see the entire advertisement. The surface area of the poster is 4,200 ft2. The tank is a right cylinder with a height of 42 ft and a radius of 30 ft. Will this tank be large enough for the poster that the agency wants to use? Explain why or why not. If not, determine the minimum radius to the nearest foot of a cylindrical tank that would meet the agency's requirements. The height of the tank will not change. Round your answer to the nearest whole number.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 46E
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Darrell works for an ad agency that is looking to place a poster on a large cylindrical tank just off a busy highway. The poster can only cover half of the side of the tank, so that drivers will be able to see the entire advertisement. The surface area of the poster is 4,200 ft2. The tank is a right cylinder with a height of 42 ft and a radius of 30 ft.
Will this tank be large enough for the poster that the agency wants to use? Explain why or why not. If not, determine the minimum radius to the nearest foot of a cylindrical tank that would meet the agency's requirements. The height of the tank will not change. Round your answer to the nearest whole number.
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