A cylindrical propane tank is filled for a cost of $0.03 per in3. The tank has a radius of 24 in. and a height of 60.5 in.What is the cost to fill the propane tank? Use 3.14 to approximate pi.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
A cylindrical propane tank is filled for a cost of $0.03 per in^3. The tank has a radius of 24 in. and a height of 60.5 in.
Determine the cost to fill the propane tank.
Solution:
In order to determine the total cost, we must first find the volume of the tank. This can be done by using the formula for the volume of the cylinder.
V=πr^2h
Substitute the values of r and h
V=πr^2h
V=π(24 in)^2(60.5 in)
V= 34,560 π in^3
V = 108,518.4 in^3
Now to determine the price, we multiply it by 0.03
= (108,518.4)($0.03)
= $3,255.5
Final answer:
= $3,255.5