A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of
the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

A Prop For The Theater Club's Play Is Constructed As A Cone Topped With A Half-sphere. What Is The Volume

Answers

Answer 1

Answer:

Volume of the prop = 706.5 in³

Step-by-step explanation:

Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone

Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

where 'r' = radius of the hemisphere

For r = 5 in,

Volume of the hemisphere = [tex]\frac{2}{3}(3.14)(5)^{3}[/tex]

                                             = 261.67 in³

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

For 'r' = 5 in and h  17 in.

Volume of the cone = [tex]\frac{1}{3}(3.14)(5)^2(17)[/tex]

                                  = 444.83 in³

Volume of the prop = 261.67 + 444.83

                                 = 706.5 in³


Related Questions

Free 100 points! Solve this equation
2x + x + 20 = 200
ANSWER is 60
2x + x = 3x
200-20=180
180 divided by 3x = 60
You may copy and paste the answer and explanation .
Have a nice day .

Answers

Answer:

60

Step-by-step explanation:

tysm! have a great day

thank you

have a good day...❤

will give brainliest! number 4 it’s the pythagorean theorem

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Ok so Here is the answer

PLEASE HELP ME WITH ALGEBRA! THANK YOU

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Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

wouldn’t it be 61 sit ups on day 12.

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

Does anyone know the answer?

Answers

Answer:

6i+9j-15k

Step-by-step explanation:

multiply every thing by 3

help plz will give 30 points

Answers

I think its A but it could be C

Answer:

c

Step-by-step explanation:

How many roots does y=3x^2+8 have?

Answers

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

Suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether. Write and solve a system of equations to find the total number of boys and girls in the school.​

Answers

Answer:

901  boys and 1007 girls

Step-by-step explanation:

let b be the number of boys

let g be the number of girls

[tex]b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007[/tex]


Determine the slope of the line that passes through each pair of points. Write in simplest form. (3,8) and (1,5)

Answers

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

First, you need to find the slope.

y2 - y1 / x2 - x1

= 5 - 8 / 1 - 3

= 3/2

The slope is 3/2x.

To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b

y = 3/2x + b

8 = 3/2(3) + b

8 = 9/2 + b

7/2 = b

The equation y = 3/2x + 7/2.

Please help me with this cuz I don't know what to do

Answers

Answer:

x = 3

Step-by-step explanation:

Representa en la recta numérica los siguientes grupos de números enteros e identifica entre ellos cual es el menor y el mayor. a). (-8, -6, -7, 3) b). (-9, -5, 2, 5,9) c). (-1, -8, - 5, -3, 1) d). (12,-5,0,-1,-10)

Answers

Answer:

sorry but i don't understand.

Step-by-step explanation:

[50 Points each!!!] and Brainliest!

Alex got a iPhone 11 for Christmas as a present. After spending 3 hours on the iPhone Alex decided to walk down the stairs to get a snack in the kitchen, but then he fell down the stairs because he was paying attention to the iPhone. He heard a crack, but luckily it wasn't his iPhone 11. It was his spinal cord.

Compare the price between the iPhone 11 and spinal cord repairence.

(This question was on a question in math and it's kinda funny XD)

Answers

Answer:

The difference between iPhone 11 and Spinal cord repairence is 99,300$.

Step-by-step explanation:

To be honest, this is a really weird question.  But a spinal cord injury can cost up to 100,000$ a year.  And an iPhone 11 cost around 700$.  It really just depends on what repairence the person got, but if I am wrong then I hope you the best with your question lol.  And since Alex didnt break his phone, you wouldnt count the repairs for the iPhone 11.

If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.

Answers

Answer:

[tex] 48\pi \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of the cone (r) = XY = 4 m

Height of the cone (h) = WZ = 9 m

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

39.2 m = ..... cm good luck ​

Answers

The answer for this question is 3920 cm

Answer:

[tex]32.9 \div 100 = 0.329cm[/tex]

Step-by-step explanation:

When you move from m to cm you divide by 100

Hey, can anyone help me with this homework answer?

Answers

Answer:

x=10

Step-by-step explanation:

Answer: 10

Step-by-step explanation: 7x-11=x-49

7x - 11 = x - 49 so add 11 to both sides 7x = x -60

Then 7x - x = 6 so 60/6= 10

I really need help with this one, I've been asking the same question like three or four different kinds. Can someone please help me I can't figure it out​

Answers

Answer:

140

Step-by-step explanation:

The sum of one interior angle and one exterior angle is 180

180-40=140 so an interior angle of the regular polygon would be equal to 140

Apostrophes are used to indicate __________.

long quotations
lists
appositives
possession

Answers

possessions because lists use commas and appositives replace nouns.

---

hope it helps

Answer:

DDDDDD possession

Step-by-step explanation:

(a) Use the scale to change 40 kilometres to miles.

Answers

Answer:

24.85 miles40 Km is 24.85 miles

Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x

Answers

Answer:

Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

56*10= 560

34+56= 90

90*10= 900

X is about 2 times the size of W so it would be

1:2 (W:X)

I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong

Triangle congruence and similarity. PICTURE INCLUDED* SAS, SSS, ASA, or AAS

Answers

Answer:

Yes. SSS

Step-by-step explanation:

The dilation factor is to multiply by 3, from the smaller to larger triangle. This proves they are similar.

AA is not an accurate postulate.

Find AC please and thank you.

Answers

Answer:

AC=AB+BC

=3X+1+9

=3X+10

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.

Answers

Answer:

210 is my estimate

Step-by-step explanation:

Increase 33 to 40
Increase 67 to 70
Then 40x70 = 280

Which would be the first step for solving the equation x + 2 = 18?
A. add - 2 to both sides of the equation
B. add 18 to both sides of the equation
c.
divide both sides of the equation by
7
16
D
multiply both sides of the equation by
7

Answers

The first step for solving this equation would be adding -2 to both sides of the equation.

Answer:

A. Add -2 to both sides

Step-by-step explanation:

The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.

What is the height of a cylinder with a volume of 384x cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch. inches ​

Answers

Answer: what's the x after 384?

Step-by-step explanation:

The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?​

Answers

Answer:

number of cats

[tex]90 \times \frac{4}{15} \\ 24cats[/tex]

An aircraft flies due north from West to Z if y is equidistant from X and Z, find the bearing of X and Z

Answers

Distance between two points =
(xy)^2 = (yz)^2
(x-y)2=(y-z)2
x2+y2-2xy=y2+z2-2yz
=> x2-2x=z2-2z
Hope this helps

Holly was asked to estimate the solution of the system of equations. She incorrectly said the solution is (-5,-2.5) . Estimate the solution of the system by graphing the equations. What mistake might Holly have​ made?
y-2x=0
y=6x+10

Answers

Answer:

answer is 10++; huuj vidi ogivj viici

A student claims that the expression “9 times the sum of a number and 13" is translated to the algebraic expression 9n + 13. Is the student correct? If not, what is the correct expression?​

Answers

Answer:

No, the student is not correct. The correct expression is 9(n+13).

Step-by-step explanation:

"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

Answer:

Sample Response: The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.

Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y

Answers

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.

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