Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number.

Use Two Formulas For Volume To Find The Volume Of The Figure. Express The Answer In Terms Of X And Then

Answers

Answer 1

Answer:

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Step-by-step explanation:

The figure shown is composed of a hemisphere and a cylinder.

The volume of the figure = volume of hemisphere + volume of cylinder

Volume of the hemisphere = ⅔πr³

Radius (r) of hemisphere = 16/2 = 8 m

Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³

Volume of Cylinder = πr²h

radius (r) = 16/2 = 8 m

height (h) = 20 m

Volume of cylinder = π*8²*20 = 1,280π m³

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³


Related Questions

Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?

Answers

Answer:

15

Step-by-step explanation:

Given that:

Three six-sided dices are to be rolled.

The number of ways to have the same value on the two dices is:

{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) }  = 6 ways

Thus; the objective is to determine the number of ways to a get smaller value on the third dice  while the two other dice have the same value.

To get started:

The number of ways for getting a value smaller than 1 = 0

The number of ways for getting a value smaller than 2 = 1

{i.e. (2,2,1)}

The number of ways for getting a value smaller than 3 = 2

{ i.e. (3,3,1) ,(3,3,2) }

The number of ways for getting a value smaller than 4 = 3

{ i.e. (4,4,1) , (4,4,2), (4,4,3)}

The number of ways for getting a value smaller than 5 = 4

{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}

The number of ways for getting a value smaller than 6  = 5

{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }

Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15

Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15

Whoever answers this gets brainlist!

Answers

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)

Answers

Answer: (0.1118, 0.3454)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.

Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.

Given : n= 35

[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]

Critical z-value for 90% confidence level =1.645

A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:

[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]

∴ Required confidence interval : (0.1118, 0.3454)

Whoever answer it correctly will get brainliest. :)

If 44 customer brought bread,67 workers also brought bread. And there were 2 bread left. How many breads were there before any of them brought one?

Answers

Answer:

69

Step-by-step explanation:

44+67+2=113
The answer is 113 assuming they all just bought 1 loaf :)

What is the slope-intercept equation of the line below?

Answers

Answer:

the answer is C hope this helps

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint

Answers

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?

A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour

Answers

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

2 1/2 times (-3 3/4)

Answers

Answer:

-9.375

Step-by-step explanation:

2 1/2 x (-3 3/4) = -9.375

Answer: [tex]-9\frac{3}{8}[/tex]

Step-by-step explanation:

1a) How much does each person pay when 6 people share the cost of a meal
costing $100?

Answers

Answer:

16.66

Step-by-step explanation:

Answer:

16.6666666667

Step-by-step explanation:

you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars

On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

How did they figure out the answer was 4 for the fraction problem solving. There are 36 people in the Newtown Hiking Club. 2/3 of the club must vote yes if the club is to hike the Northern Trail. 20 people have voted yes. How many more yes votes are needed?

Answers

Answer:

   

Step-by-step explanation:

Someone help me with this please

Answers

Answer:

pretty sure it's B, its just really hard to see

Step-by-step explanation:

I BET YOU CANT SOLVE THIS

Answers

Answer:

Step-by-step explanation:

5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )

using distributive property,

the answer is

( 5 x 9 ) + ( 5 x 4 )

if u want the final answer

it becomes

45 + 20

= 65

Hope this helps

plz mark as brainliest!!!!!!!!

Principal=$100 rate=5% years=3 what is the interest?

Answers

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

Help please please please

Answers

A, make me the brainiest answer too pls

the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50

Answers

Answer:

$ 1,593.75

Step-by-step explanation:

this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D

Madeline has two different candles made by two different companies. The length in centimeters of the first candle depends on its burning time t (in hours) according to the formula f(t)= 20-1.5t. The length (in centimeters) of the second candle over time

Answers

Answer:

I needed help with this answer well, because im on it right now.

Step-by-step explanation:

I'm in algebra and I don't understand how to solve this equation or problem :(

How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?

Answers

Answer:

The width of the confidence interval is going to be wider

Step-by-step explanation:

When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;

The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.

This answers your question.

Solve: C - 20 = 4 - 3c
Need to solve for C

C=___

Answers

Answer:

C = 6

Step-by-step explanation:

Here are steps

C - 20 = 4 - 3C

C + 3C = 4 + 20

4C = 24

C = 6

Find the slope. (4,2) (7, 6.5)​

Answers

Answer:

B.

Step-by-step explanation:

m=y2-y1/x2-x1

6.5-2=4.5

7-4=3

4.5/3=1.5

the slope is 1.5

hope this helps :3

if it did pls mark brainliest

what 2-7/8 divided by 3/4

Answers

Answer is 72.66666667

I hope it is helpful for you....

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

Answers

Answer:

5.6864

Step-by-step explanation:

Find the variance for the given data. Round your answer to one more decimal place than the original data.

{12.4, 10.7, 14.5, 10.1, 16.5}

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.

Answers

Answer:

11355mL

Step-by-step explanation:

It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .

3785*3= 11355

helen got a$7 reduction in the price of a pair of jeans that are normally $32 what is the approximate percent decrease in the price​

Answers

Answer:

The percent decrease is approximately 21%.

Step-by-step explanation:

Please help me:) i will give brainliest to the right answer<3

Answers

Answer:

It does

Step-by-step explanation:

It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.

Hope this Helps!!

There is a new truck worth $31,500 and it loses value at the rate of 2.7% per year.
1) Create an exponential model.
2) How much is the truck worth 5 years later?
3) How much is the truck worth 15 months later?

Answers

Answer:

For 2 it's 27,247 and for 3 it's 31393.86

Step-by-step explanation:

use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01

Answers

Answer:

182.353745455

Answer:180

Step-by-step explanation:

Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS

Answers

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?

Answers

Answer:

he would get 10$

Step-by-step explanation:

if you divide 500 by 1 you get 5 times that by 2

is it possible to build a triangle with lengths of 5 7 12

Answers

Answer:

No

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

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