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3 years ago

A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in

Mathematics

1 answer:

mafiozo [28]3 years ago

5 0

Answer:

$6524.51 ft^2$

Step-by-step explanation:

The surface area of a cylinder is given as;

$SA = 2\pi rh + 2\pi r^2$

where r = radius

h = height

The cylinder has a height of 32 feet and a diameter of 40 feet. This means that the radius is:

40 / 2 = 20 feet

The surface area is therefore:

$SA = (2*\pi* 20 * 32) + (2*\pi *20^2)\\\\SA = 4021.24 + 2513.27\\\\SA = 6524.51 ft^2$

The surface area of the cylinder is $6524.51 ft^2$ .

You might be interested in

A triangular flag has an area of 22 cm². Jon measures the height as 8 cm, what is the base length?

dedylja [7]

The base length is 5.5 cm.

Explanation:

Area of triangle = base x height x 1/2

Let b cm be the base length of the triangular flag.

22 = b x 8 x 1/2

22 x 2 ÷ 8 = b

b = 44 ÷ 8

b = 5.5

4 0

3 years ago

Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a co

Maurinko [17]

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

3 0

3 years ago

Evaluate the numerical expression 2.5(−4.4 − 3.5)

Sophie [7]

<span>2.5(−4.4 − 3.5)
=</span>−4.4 − 3.5=-7.9
=2.5(-7.9)
=-19.75

6 0

3 years ago

Write a linear equation representing the information shown in the table.

Law Incorporation [45]

Answer:

Step-by-step explanation:

This is how I write

y=kx+m

but I have seen some write it like this:

y=mx+b

Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.

y=kx+m

To find out what k

$k = \frac{y2 - y1}{x2 - x1}$

So you first need to choose two points.

I'll go for (0,-5) and (2,0)

$k = \frac{0 - 5}{2 - 0}$

$k = \frac{ - 5}{2}$

Now you could insert k into the equation and it will look like this.

$y = \frac{ - 5}{2}x + m$

To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.

$- 5 = \frac{ - 5}{2} \times 0 + m$