All categories

3 years ago

For a Cylinder: radius = 6mm Vertical eight = 9 mm, find Total surface area

Mathematics

2 answers:

lozanna [386]3 years ago

7 0

Surface area is 2pi r h +. 2pi r squared
2 pi 6 9 + 2 pi 6^2
= 108 pi + 72 pi
= 180 pi

Whitepunk [10]3 years ago

3 0

Answer:

Total surface area is 565.5 mm²

Step-by-step explanation:

${ \rm{total \: s.a = 2\pi rh + 2\pi {r}^{2} }} \\ \\ { \rm{total \: s.a = 2\pi r(h + r)}}$

h is height
r is radius

${ \rm{total \: s.a = (2 \times 3.14 \times 6)(9 + 6)}} \\ \\ { \rm{total \: s.a = 565.5 \: {mm}^{2} }}$

You might be interested in

Solve Tan^2x/2-2 cos x = 1 for 0 < or equal to theta < greater or equal to 1.

mixer [17]

Answer:

x = theta = 0°

Step-by-step explanation:

Given the trigonometry function

Tan²x/2-2 cos x = 1

Tan²x-4cosx = 2 ... 1

From trigonometry identity

Sec²x = tan²x+1

tan²x = sec²x-1 ... 2

Substituting 2 into 1, we have:

sec²x-1 -4cosx = 2

Note that secx = 1/cosx

1/cos²x - 1 - 4cosx = 2

Let cosx. = P

1/P² - 1 - 4P = 2

1-P²-4P³ = 2P²

4P³+2P²+P²-1 = 0

4P³+3P² = 1

P²(4P+3) = 1

P² = 1 and 4P+3 = 1

P = ±1 and P = -3/4

Since cosx = P

If P = 1

Cosx = 1

x = arccos1

x = 0°

If x = -1

cosx = -1

x = arccos(-1)

x = 180°

Since our angle must be between 0 and 1 therefore x = 0°

4 0

3 years ago

A circle has a square etched inside of it, with the endpoints of the square touching the circle. if the circle has a radius of 1

ch4aika [34]

First, illustrate the problem by drawing a square inside a circle as shown in the first picture. Connect each corner of the square to the center of the circle. Since the square is inscribed in the circle, they have the same center points. Each segment drawn to the corners is a radius of the circle measuring 1 unit. Also, a square has equal sides. So, the angle made between those segments are equal. You can determine each angle by dividing the whole revolution into 4. Thus, each point is 360°/4 = 90°.

Next, cut a portion of one triangle from the circle as shown in the second picture. Since one of the angles is 90°, this is a right triangle with s as the hypotenuse. Applying the pythagorean theorem,

s = √(1²+1²) = √2

So each side of the square is √2 units. The area of the square is, therefore,

A = s² = (√2)² = 2

The area of the square is 2 square units.

8 0

3 years ago

Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X =

salantis [7]

Answer:

$P(X>14)= 1-P(X$

And replacing we got:

$P(X>14)= 1- \frac{14-8}{22-8}= 0.5714$

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

Step-by-step explanation:

We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

$X \sim Unif (a= 8, b=22)$

And for this case we want to find the following probability:

$P(X>14)$

We can find this probability using the complement rule and the cumulative distribution function given by:

$P(X$

Using this formula we got:

$P(X>14)= 1-P(X$

And replacing we got:

$P(X>14)= 1- \frac{14-8}{22-8}= 0.5714$

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714

6 0

3 years ago

How many arrangements of the seven letters in the word SYSTEMS have the E occurring somewhere before the M? How many arrangement

Snezhnost [94]

Answer: 720ways, 24ways

Step-by-step explanation:

Given the seven letter words "SYSTEMS", if E is always occurring before M it means E and M will always be together therefore they letter 'EM' will be taken as an entity to five us 6letters i.e SYST(EM)S.

This can then be arranged in 6!ways

6! = 6×5×4×3×2×1 = 720ways

Similarly, if the E somewhere before the M and the three Ss grouped consecutively, this means E and M must always be together as well as the Ss to give (SSS)YT(EM).

This means that the letters in the bracket can be taken as an entity to give a total of 4 entities. This can them be arranged in 4! ways.

4! = 4×3×2×1

4! = 24ways

5 0

3 years ago

Urgent as i have final soon. How to solve problems like this f( ) = 8x+29

Kaylis [27]

Answer:

See below

Step-by-step explanation:

we have f(x) = 8x + 29

essentially f(x) is a function and the number that goes in the blank is the input, whatever the input is you plug in to all values of x and evaluate to get the output

we are going to assume that we have to solve for f(4)

so we have f(4) = 8x + 29

because 4 is in the "input spot" we input a 4 for every x we see in the function

So we get f(4) = 8(4) + 29

we then simply evaluate

f(4) = 8(4) + 29

==> multiply 8 and 4

f(4) = 32 + 29

==> add 32 and 29

f(4) = 61

So if the input of f(x) was 4, the out put would be 61

Let me know if you have any further questions! :)

7 0

2 years ago