An open cylindrical tank is 150 feet in diameter and 180 feet high. The lateral surface area of the tank (no top and no bottom) is to be painted with paint that covers 225 square feet per gallon. When filled each cubic foot of the tank holds approximately 7.5 gallons of gasoline valued at $2.75 per gallon. A. Find the number of gallons of paint required for a single coat of paint. B. Find the total value of the gasoline in the filled tank

smuklica8i

smuklica8i

Answered question

2022-07-26

An open cylindrical tank is 150 feet in diameter and 180 feet high. The lateral surface area of the tank (no top and no bottom) is to be painted with paint that covers 225 square feet per gallon. When filled each cubic foot of the tank holds approximately 7.5 gallons of gasoline valued at $2.75 per gallon.
A. Find the number of gallons of paint required for a single coat of paint.
B. Find the total value of the gasoline in the filled tank

Answer & Explanation

Ali Harper

Ali Harper

Beginner2022-07-27Added 16 answers

Step 1
Radius = 150 / 2 = 75 feet
height = 180 feet
a) Lateral surface area = 2 π r h = 2 π 75 180 = 84823
number of gallons of paint = 84823 / 225 = 377 gallons
Step 2
b) Volume of cylinder = π r 2 h = π 75 2 180 = 3180862.5618
total value of the gasoline in the filled tank = 3180862.5618 7.5 2.75 = $ 65605290

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