A cylinder has a diameter of 20cm.

The height of the cylinder is 3/5 the length of the diameter.

Calculate the volume of the cylinder in terms of π

Answers

Answer 1

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

V = π(10)²(12)

Simplify.

V = π * 100(12)  V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.


Related Questions

Write the fraction 9/12 as a percent

Answers

9/12 = 75%

if any questions just ask.

Answer:

75%

Step-by-step explanation:

9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.

l hope it helps you ❤❤


7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps

Answers

Correct option :[tex]= \color{plum}\bold{(b) \: 2,700}[/tex]Steps to derive answer :

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]

Then, the cost price of this bicycle :

[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]

[tex] = \tt \frac{285000}{114} [/tex]

[tex] =\color{plum} \tt2500[/tex]

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]

[tex] = \tt2500 = \frac{100x}{108} [/tex]

[tex] =\tt 100x = 2500 \times 108[/tex]

[tex] = \tt100x = 270000[/tex]

[tex] =\tt x = \frac{270000}{100} [/tex]

[tex] =\color{plum}\tt x = 2700[/tex]

Therefore, the selling price with a profit of 8% will be = 2700

How many cups are in 16 quarts? 1 quart = 4 cups

Answers

Answer:

64

Step-by-step explanation:

4 cups * 16 quarts = 64 cups

The answer is 64. Set it up like this
1 quart =4 cups
16 quarts-=?
Multiply 16 times 4 which is 64

Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater

Answers

Answer: 3/6

Step-by-step explanation:

If you convert them into decimals you get

3/8 = 0.375

3/6 = 0.5

Answer: 3/6 is greater

Step-by-step explanation:

uh I kinda need help lolz

Answers

I believe the answer to this question is A

In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)

, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)

, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)

. What is the value of x?x?

Answers

Answer:

x=11

Step-by-step explanation:

Using the Exterior Angle Theorem. . .

(3x+8) + (2x+9) = (8x-16)

Solve to get x = 11

will give brilintest if u answer correctly plz

Answers

Answer:

D. (3, 4, 5)

Step-by-step explanation:

[tex]5 = \sqrt{ {(3)}^{2} + {(4)}^{2} } \\ 5 = \sqrt{9 + 16} \\ 5 = \sqrt{25 } \\ 5 = 5[/tex]

D.3,4,5 is the correct answer

To find the quotient 3/4 / 1/8

Answers

Answer:

6 i think

Step-by-step explanation:

Answer:

24/4 or 6

Step-by-step explanation:

3/4 / 1/8

flip the 1/8 and the sign

3/4x8/1

3x8=24

4x1=4



Tell me the solution
[tex]4 \times 100 \\ \div 7[/tex]

Answers

57.1428 is the answer

Step-by-step explanation:

4×100=400

400÷7=57.14......

hope it helps!

have a great day :)

Find the distance between points (a, b) and (-a, -b).

Answers

Answer:

you have to show which points lol

The area of the triangle is 119 square feet. Find the base and the height.
(x + 3) ft.
(x + 6) ft.

Answers

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Please answer this question, they said the answer has to be in fraction form or hole number

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

Fatima used a coupon to pay for a pair of jeans. The original price of the jeans was $25. The coupon reduced the price to $16. Which equation can you use to help you find the value of the coupon? *

Answers

Answer:

16+c=25

Step-by-step explanation:

Simplify the expression by combining like terms.

3.6x+5.9−2.2−1.7x

Enter your answer as an expression, like this: 42x+53

Answers

Answer:
1.9x+3.7
Explanation:
3.6x + (-1.7x)= 1.9x
5.9 - 2.2= 3.7

HELP HELP HELP!!!!! Please help!

Answers

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80

20 points. A triangle has an exterior angle with a measure of 120°. Can you determine the measures of the interior angles?

The answer is no, I just need an explanation why, thank you :)

Answers

Answer:

Step-by-step explanation:

it is no because there is only 1 angel that u have



what’s the equation?

Answers

Answer:

The equation is;

y = 2x^2 -8x + 12

Step-by-step explanation:

The vertex form can be written as;

a(x-h)^2 + k

(h,k) represents the coordinates of the vertex

In this case, we have this as (2,4)

The value of a is positive as the parabola opens up and it is the axis of symmetry

It is the x value that divides the graph into 2

Thus, we have x as = 2

so the equation of the graph will be;

2(x-2)^2 + 4

2(x^2 - 4x + 4) + 4

= 2x^2 -8x + 8 + 4

= 2x^2 -8x + 12

5(x - 1) and 5x - 1
is it equivalent ​

Answers

Answer:

no

Step-by-step explanation:

5(x - 1) = 5x - 5

5x - 1 = 5x - 1

No, it is not equivalent

The required, 5(x - 1) and 5x - 1 are not equivalent expressions.

Let's expand 5(x - 1):

5(x - 1) = 5 * x + 5 * (-1) = 5x - 5

On the other hand, 5x - 1 is already in its simplified form.

As you can see, the expressions 5(x - 1) and 5x - 1 have different forms. The first expression involves distributing the 5 to both terms inside the parentheses, while the second expression is already simplified and cannot be further combined.

For example, if we substitute x = 2 into both expressions, we get:

5(2 - 1) = 5 * 1 = 5

5 * 2 - 1 = 10 - 1 = 9

Since 5 and 9 are not equal, it confirms that the two expressions are not equivalent.

Learn more about equivalent expression here:

https://brainly.com/question/2515709

#SPJ6

is it possible to draw a triangle with numbers 5,6,11

Answers

Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].  

11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].

We now calculate to see if this is true.

25 + 36 [tex]\neq[/tex] 121

Therefore, the answer is wrong.

Determine the type of correlation represented in the scatter plot below.

A. a perfect positive correlation
B. a strong positive correlation
C. a weak positive correlation
D.no correlation
E. a weak negative correlation
F. a strong negative correlation
G. a perfect negative correlation

Answers

Answer:

f is correct

Step-by-step explanation:

A weak negative correlation. Correct option is E.

What is a correlation?

A correlation between two variables tells the how the first variable will change, with change in second variable.

Given,

Value of y decreases as the value of x increases and vice versa.

Also, x and y are nearly linearly related.

But, there is still some deviation in the values and are not perfectly linear.

Hence, there is a weak negative correlation between x and y.

To learn more about correlation visit:

https://brainly.com/question/28898177

#SPJ1

Find the number of terms in 3(x + 5y + 6)

Answers

Answer:

3

+

1

5

+

1

8

Step-by-step explanation:

John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?

Answers

Answer:

850 but im not sure lol

Step-by-step explanation:

645 + 225 = 870

1,320 - 870 = 450

450 + 350 = 800

800 + 50 = 850

The spinner shown is spun 300 times.
a) How many times would you expect the arrow
to stop on green if the spinner is fair?
The table below shows the number of times
the arrow stops on each colour.
Pink
Green
Colour
Frequency
Blue
45
Red
37
Purple
72
52
94
b) The spinner is spun once more.
Estimate the probability of landing on purple.
c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on blue?

Answers

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

150

a, The number of times is 60.

b. The probability for landing should be [tex]72/300[/tex]

c. The number of times is 150.

Calculation of the number of times and probability:

Since

a. The spinner shown is spun 300 times

and, the probability of green should be like [tex]1/5[/tex]

So here one-fifth of 300 should be 60.

b. The probability is

First the total be like

= 45+37+52+94+72

= 300

Now the probability is

=  [tex]72/300[/tex]

C) The number of times should be

[tex]= 1000 * (45/300)[/tex]

= 150

Learn more about probability here: https://brainly.com/question/5680312

wing
You find that the number of
messages you recelve on your
message board varies directly as
the number of messages you post.
When you post 5 messages, you
receive 12 messages in return.
Find the number of messages you
need to post to receive 96
messages.

Answers

I honestly don’t understand

NEED DONE BY 8 PLEASE HELP!!

Answers

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

What is the solution to the inequality 5.25 - b > 6.5​

Answers

Answer:

The answer is no.2

Step-by-step explanation:

Peter is folding brochures for his Dad's new company. After 1 hour, he has 330 brochures left to fold. After 4 hours, he only has 90 brochures left to fold.

(From the above statements you should be able to create two ordered pairs. I will create one for you..... (1,330). Now you create the other ordered pair and continue with the problem.)

Write an equation in slope-intercept form, y=mx+b, that represents the number of brochures Peter has left to fold, , after a given number of hours, x.

Answers

Answer:

y = -80x + 410

Step-by-step explanation:

(1,330) is the first point, the other point is (4,90)

m = y2 - y1/x2 - x1

m = 90 - 330/4 - 1

m = -240/3

m = -80/1

m = -80

y - y1 = m(x - x1)

y - 330 = -80(x - 1)

y - 330 = -80x + 80

y = -80x + 80 + 330

y = -80x + 410

PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?


10 HOURS

40 HOURS

50 HOURS

90 HOURS

Answers

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.

Answers

Answer:

2 orders

Step-by-step explanation:

Step one:

given data

The local store sells at $24 per pair of jeans

Cost = $24

The online store sells at $22 per pair plus a shipping fee of $6 per order

let the number of orders be x

Cost= 22+6x

For 1 order

the online store will cost

Cost= 22+6*1

Cost= 22+6

Cost= $28

For 2 orders

The local shop cost

Cost= 24*2= $48

The online store will cost

Cost= 22+6*2

the online store will cost

Cost= 22+12

Cost= $34

Hence Tim should place at least 2 orders if he wants to buy online

Answer:

# of orders is 2 ORDERS!!!

Step-by-step explanation:

I hope this helps!!!

sort the cities from closest to farthest from sea level.
Please help me

Answers

I think
J,BB,S

(I shortened name to letter)
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