Question

please help I’m really tired and confused on this topic but understood the rest I just need a little extra help I got 10 classes and I doing great in the class as of now but if don’t do good on this my grade will drop


A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 2 ft and a diameter of 10 ft. The tank will be
made from metal (including its top and bottom). Suppose the total cost of the metal will be $8572.20. How much will the metal cost per square foot? Use 3.14
for it, and do not round your answer.
10 ft
x
6
?
2 ft

Answer 1

Step-by-step explanation:

Given:

$h = 2 \: ft \\ d = 10 \: ft \implies \: r = 5 \: ft \\ total \: surface \: area \: of \: \\ cylinder = 2 \pi \: r(h + r) \\ = 2 \times 3.14 \times 5(2 + 5) \\ = 31.4 \times 7 \\ = 219.8 \: {ft}^{2} \\ \\ metal \: cost \: per \: square \: foot \\ = \frac{8572.20}{219.8} = 39 \: dollars$