The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter

Answers

Answer 1

Answer:

The volume of the kiosk is 72 m³.

Step-by-step explanation:

The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):

[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]

Where:  

r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m

d: is the diameter = 5 m

[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m                              

[tex]h_{c}[/tex]: is the height of the cone = 2 m

Hence, the volume is:

[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]

Therefore, the volume of the kiosk is 72 m³.

                             

I hope it helps you!


Related Questions

Can U pls Help Me pls​

Answers

Answer:

angle x= 60

so it is in the ratio 1:2:√3

√3x=3

ie.x=√3/3

adjacent side=x=√3/4

Step-by-step explanation:

everything can be found in the picture

Find the range of the data.
The ages of kids playing at a park.
4, 1, 3, 9, 6, 3, 2, 4
Range: [?]

Answers

Answer:

8

Step-by-step explanation:

Range is found by taking the largest number and subtracting the smallest number

The largest number is 9

The smallest number is 1

9-1 =8

The range is 8

Answer:

8

Step-by-step explanation:

Range = highest value - lowest value

Range = 9 - 1

Range = 8

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

1) y= 2x

for every 5 x-steps to the right the graph goes up by ten. 10/5 is simplified to 2/1 or just 2

it starts at 0/0, so no need to add and absolute value

2) x: number of days

y: number of vidits (roughly2 per day, but you don't need to write this in the box)

3) 35 days. it's just y=70

and we could write this as

70 = 2*x | devide by 2 on both sides to get x

35 = x

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

PLEASE HELP! What is the value of a?

A 12
B. 15
C. 17:25
D. 21.25

Answers

i think b. not sure sorry if im wrong

help w this questionn ^^

Answers

Answer:

BC = 8 cm

Step-by-step explanation:

tan(x) = sin(x)/cos(x)

sin(x) is the opposite side of the angle x.

cos(x) is the side with a right angle to sin(x).

2 = 12/EC

EC = 12/2 = 6 cm

=>

CD = ED - EC = 10 - 6 = 4 cm

now, the same tan(x) relation had to be true for BCD.

tan(x) = BC/CD

2 = BC/4

BC = 8 cm

Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.

Answers

Answer:

she will make 78 dollars

Step-by-step explanation:

312 divided by 24 is `13

13 times 6 is 78

easy question but need answer quick!!

Answers

Answer:

Step-by-step explanation:

Step 1:  Find slope of Linear function A

[tex]slope = \frac{y_2 - y_1}{x_2-x_1} = \frac{-5--1}{-4--2} = \frac{-5 +1}{-4+2} = \frac{-4}{-2} = 2[/tex]

Step 2 : Find slope of B

Since they are perpendicular to each other, product of their slope = -1

That is,

   [tex]m_A \times m_B = - 1\\2 \times m_B = -1\\\\slope, m_B = \frac{-1}{2}[/tex]

Given the function passes through (4, -6)

Equation of the linear function :

                                         [tex]x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -\frac{1}{2} (x - 4)\\\\y + 6 = -\frac{1}{2}x + 2\\\\y = -\frac{1}{2}x + 2 - 6 \\\\y = -\frac{1}{2}x -4[/tex]

Part B

Linear Function is parallel to B

Therefore the slope of B and slope of C are the same. And the equation will be of the form :

                   [tex]y = -\frac{1}{2} x + C[/tex]

what is the correct answer​

Answers

Step-by-step explanation:

you tu tubless

ar vi ing

..............

A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study

Answers

Answer:

The given parameters of the study are;

The number of people in the sample, n = 200

The p-value = 0.013

The average increase between fall and spring semester = $0.35

Therefore, we have;

Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.

Step-by-step explanation:

The result of the test hypothesis is incorrect or should be rejected.

What is P-value?

Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.

What is the significance of the P-value?

The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.

We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.

Hence, the result of the test hypothesis is incorrect or should be rejected.

Learn more about P-Value:

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help plssss! i’m rly struggling in geometry

Answers

Answer:

i don't know

Step-by-step explanation:

fffgg

Helppppppppp meeeeee

Answers

Answer:

y=-1

Step-by-step explanation:

y=-1 just shows the y value which means its just a horizontal line which is parallel to the x axis.

Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )

Im so confused so PLS HHELP !!!!!! ;-;

Answers

Answer:

Step-by-step explanation:

let -2/3 be the rational number and 9 be the positive real number

according to the given of indices this tis can be written as

[tex]9^{-2/3}[/tex]

[tex](3)^{2*-2/3}[/tex]

[tex]3^{-4/3}[/tex]

1/3^4/3

What is the multiplicative rate of change of the function?
2/3
3/4
4/3
3/2

Answers

Answer: 3/4

Step-by-step explanation:

Did the test

The required multiplicative rate in the given function is 3 / 4. Option B is correct.

What is an exponential function?

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
From the table of the exponential functions,
The multiplicative factor is given as,
K = y₂/y₁
K =  [9 / 8] / [3/2]
K = 3 / 4

Thus, the required multiplicative rate in the given function is 3 / 4. Option B is correct.

learn more about exponential function here:

brainly.com/question/15352175

#SPJ2

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

PLEASE HELPPPPP I NEED TO PASS SUMMER SCHOOL

Answers

Answer:

c

Step-by-step explanation:

used socratic

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

63/10,  6.396,  6.99,  7 4/11

Step-by-step explanation:

Convert all to fraction or decimal

What is the length of /AB?

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

What does 2x+4y=12 solve for?

Answers

2x+4y=12
divide by 4
0.5x+y=3
format into y=mx+b form
Answer: y=-0.5x+3

Answer:

Hi, there for x it will be x=−2y+6

But if your solving for y it will be [tex]y=-\frac{1}{2}x+3[/tex]

Hope this Helps :)

Step-by-step explanation:

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2}=\frac{-4y+12}{2}[/tex]

x=−2y+6

2.

Let's solve for y.

2x+4y=12

Step 1: Add -2x to both sides.

2x+4y+−2x=12+−2x

4y=−2x+12

Step 2: Divide both sides by 4

[tex]\frac{4y}{4} =\frac{-2x+12}{4}[/tex]

[tex]y=-\frac{1}{2} x+3[/tex]

will give brainliest to correct answer​

Answers

Answer:

A = 5

B = -13

C = 7

Step-by-step explanation:

The general formula of quadratic equation is ax^2+bx+c.

Help me please. NO LINKS

Answers

Answer:

A. 7986.45

[tex] \frac{4}{3} \pir3[/tex]

Here are some cards with angles written on them.
45°
165°

90°
102°
31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?

Answers

the answer is 165 I think because I didn't understand the question

Answer= (2/7) or about 0.29

Explanation: There are only two numbers that are greater than 100 (102,165). Divide the number of cards that are greater than 100° by the amount of cards that are given.

(2/7) = about 0.29

how many groups of 15 minutes are there in 1 3/4 hours​

Answers

Answer:

7 groups

Step-by-step explanation:

1 hour = 60 minutes

3/4 of an hour = 3/4(60) = 45 minutes

therefore, 1 3/4 hours is 105 minutes

105 divided by 15 is 7

Please helpppp i have a test tomorrow the problem is in the picture below

Answers

Answer:

yes

Step-by-step explanation:

Which expression has the largest value? Each has as a factor. A 92 × 38\ \ \frac{9}{2}\ \times\ \frac{3}{8} 2 9 ​ × 8 3 ​ B 1089 × 38\frac{10}{89}\ \times\ \frac{3}{8} 89 10 ​ × 8 3 ​ C 123 × 381\frac{2}{3}\ \times\ \frac{3}{8}1 3 2 ​ × 8 3 ​ D 278 × 382\frac{7}{8}\ \times\ \frac{3}{8}2 8 7 ​ × 8 3 ​

Answers

Answer:

if your in high school why you need the answer

Step-by-step explanation:

t f

hi i am a boy that does math at school

Given right triangle ABC, which of the following statements must be true
Check all that apply.

A. sin A = Cos(90° - A)
B. cosA = sin C
C. ZA and ZC are supplementary
D. sin A = Cos(90°-C)

Answers

A + B are correct

via a p e x

The correct statements are A and B

What is a right-angled triangle?

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'

According to the given problem,

cos(A−B) = cosAcosB + sinAsinB .

Let A=90∘, B = a

Therefore.

cos(90∘−a) = cos90∘cosa + sin90∘sina.

Here, we have,

cos90∘ = 0, sin90∘ = 1.

cos(90∘−a) = sina

Now, we know,

sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]

For ∠BAC,

cosA = [tex]\frac{AB}{AC}[/tex]

For ∠ACB,

sinC =  [tex]\frac{AB}{AC}[/tex]

Hence, we can conclude, A and B are the true statements for the given right-angled triangle.

Learn more about right-angled triangle here:

https://brainly.com/question/13263113

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Determine the domain of the following graph:

Answers

Answer:

-10<x<6

Step-by-step explanation:

Find where x starts and where x ends

The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.

Answers

Answer:

[tex]17 \le t \le 28[/tex]

Step-by-step explanation:

Given

[tex]t = 22\frac{1}{2}[/tex] --- average time

[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation

Required

The inequality to represent the scenario

To do this, we simply add and subtract the variation from the average time.

i.e.

[tex]t \± \triangle t[/tex]

So, the inequality is:

[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]

Solve:

[tex]17 \le t \le 28[/tex]

F(x)= x^2 . What is g(x)?

Answers

the answer is B, g(x)= (9x)^2
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