The diameter of a cylinder is 6 feet 6 inches. The height of a cylinder is 12 feet 3 inches. What is the surface area? (feet

squared) What is the volume? (feet cubed)

Mathematics

1 answer:

Andru [333]3 years ago

8 0

$d-the\ diameter\\r-the\ radius\\H-the\ height\\\\d=6ft\ 6"=\left(6\frac{6}{12}\right)ft=6.5ft\\\\d=2r\to2r=6.5ft\to r=3.25ft\\\\H=12ft\ 3"=\left(12\frac{3}{12}\right)ft=12.25\ ft\\\\Surface\ area:\\A_s=2\pi r(r+H)\to A_s=2\pi\cdot3.25\cdot(3.25+12.25)\\=6.5\pi\cdot15.5=100.75\ (in^2)\\\\Volume:\\V=\pi r^2H\to V=\pi\cdot3.25^2\cdot12.25=129,390625\ (in^3)$

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The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per m

sukhopar [10]

Answer:

4,250,000 riyals

Step-by-step explanation:

The total cost of drilling a 500-meter well is the sum of fixed costs (1,000,000 riyals) and variable costs.

By integrating the marginal cost function we get the variable costs function. Evaluating the variable costs function from 0 to 500 meters, gives us the total variable cost.

$C(x) =\int\limits^{500}_0 {C(x')} \, dx =\int\limits^{500}_0 {(4000 + 10x)} \, dx \\C(x)=4000x +5x^2 +c|^{500}_0\\C(500) - C(0) = (4000*500 +5*500^2 +c) - (4000*0 +5*0^2 +c)\\C(500) - C(0) = 3,250,000$