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Mila [183]
3 years ago
14

The truck's tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

Area of the truck tank is 1356.48ft^2

Step-by-step explanation:

It is given height of the cylinder h = 50 ft

Radius of cylinder is r = 4 ft

Surface area of the cylinder is equal to

A=2\pi rh+2\pi r^2

Now putting the value of r and h

A=2\times 3.14\times  4\times 50+2\times 3.14\times  4^2

=1356.48ft^2

Therefore area of the truck tank is 1356.48ft^2

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Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

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We are given the equation of a circle as

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x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

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There are two solutions for \alpha:

\alpha=-4,\ \alpha=3

Keeping the positive solution, as required:

\boxed{\alpha=3}

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3 years ago
What is the solution to 2 In x = 4 In 2?
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