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A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome (a hemisphere). The radius of the tank is measured to be 70 ft with a tolerance of ±6 in. (±0.5 ft). (The formula for the surface area of a hemisphere is A = 2tr²; use 3.14 as an approximation for .) Each can of paint costs $40 and covers 300 ft². a) Calculate dA, the approximate difference in the surface area due to the tolerance. b) Assuming the painters cannot bring partial cans of paint to the job, how many extra cans should they bring to cover the extra area they may encounter? c) How much extra should the painters plan to spend on paint to account for the possible extra area? a) dA= (Simplify you ft² ft³ ft ...

A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome (a hemisphere). The radius of the tank is measured to be 70 ft with a tolerance of ±6 in. (±0.5 ft). (The formula for the surface area of a hemisphere is A = 2tr²; use 3.14 as an approximation for .) Each can of paint costs $40 and covers 300 ft². a) Calculate dA, the approximate difference in the surface area due to the tolerance. b) Assuming the painters cannot bring partial cans of paint to the job, how many extra cans should they bring to cover the extra area they may encounter? c) How much extra should the painters plan to spend on paint to account for the possible extra area? a) dA= (Simplify you ft² ft³ ft ...

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 56AR
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K A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome (a hemisphere). The radius of the tank is measured to be 70 ft with a tolerance of ±6 in. (±0.5 ft). (The formula for the surface area of a hemisphere is A = 2лr²; use 3.14 as an approximation for .) Each can of paint costs $40 and covers 300 ft². a) Calculate dA, the approximate difference in the surface area due to the tolerance. b) Assuming the painters cannot bring partial cans of paint to the job, how many extra cans should they bring to cover the extra area they may encounter? c) How much extra should the painters plan to spend on paint to account for the possible extra area? a) dA= (Simplify you V f² ft3 ft View an example Get more help Save .... Clear all
Transcribed Image Text:K A painting firm contracts to paint the exterior of a larger water tank in the shape of a half-dome (a hemisphere). The radius of the tank is measured to be 70 ft with a tolerance of ±6 in. (±0.5 ft). (The formula for the surface area of a hemisphere is A = 2лr²; use 3.14 as an approximation for .) Each can of paint costs $40 and covers 300 ft². a) Calculate dA, the approximate difference in the surface area due to the tolerance. b) Assuming the painters cannot bring partial cans of paint to the job, how many extra cans should they bring to cover the extra area they may encounter? c) How much extra should the painters plan to spend on paint to account for the possible extra area? a) dA= (Simplify you V f² ft3 ft View an example Get more help Save .... Clear all
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