What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer 1

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.


Related Questions

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

Answers

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

I need the explanation the most.
Answer and I you will get 8 years of good luck

Answers

Answer:

i think 8

Step-by-step explanation:

Equations on both sides
3x + 5 = 2x -17

Solve it and show the work because i need to show the work

Answers

The answer would be for this problem is -22

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

solve for x
7.8
6.6
3.6
3

Answers

Answer:

6.6

Step-by-step explanation:

brainliest

its me from the last question

Hello please help!
Which expressions (answer choices below) can be represented by the decimal grids below? Choose all the correct answer choices below.
0.6×4

2.4÷0.06

0.4×6

2.4÷4

2.4÷0.6

Answers

Answer:

0.6*4, and 0.4*6 yes

I think C and G yes and a e i no.

I am not sure. Tell me if I am wrong.

Step-by-step explanation:

Have a nice day!

What is the summation notation for the geometric series 1/2+2 + 8 +32+128

Answers

Answer:

D

Step-by-step explanation:

Edge

The summation of the given geometric series is 70.5.

What is geometric series ?

Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.

Formula for the sum of the nth term of a geometric series

[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex]     (when r>1)

or

[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex]          (when r<1)

where,

r is the common ratio

a is the first term of first term of the series.

n is the total number of terms.

According to the given question

we have

geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]

total number of terms, n=5

first term a =[tex]\frac{1}{2}[/tex]

[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]

therefore,

summation of the given geometric series calculated as

[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]

[tex]s_{n} =\frac{1023}{6}[/tex]

[tex]s_{n} = 170.5[/tex]

Hence, the summation of the geometric series is 170.5.

Learn more about the summation of geometric series here:

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Give The measures of the angle that is complementary to the given angle

Answers

36

Step-by-step explanation:

We know that

Sum of two complementary angles is 90°Let the other angle be xSo[tex] \rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36[/tex]

The base diameter and the height of a cone are both equal to x units.
Which expression represents the volume of the cone, in cubic units?

[pi]x2
2[pi]x3
1/3[pi]x2
1/12[pi]x3​

Answers

Answer:

π x³ /12 cubic units.

hope this helps you and have a nice day

The price of 2 ratios are in x:y when the prices both increase by £20, the ratio becomes 5:2 when the prices both reduce by £5 the ratio becomes 5:1 express the x:y ratio in the lowest form

Answers

Answer:

x:y = 4:1

Step-by-step explanation:

Since their ratios are x:y, when they both increase by £20, their ratio is 5:2.

So, x + 20/(y + 20) = 5/2   (1)

When they both decrease by £5, their ratio is 5:1.

So, x - 5/(y - 5) = 5/1    (2)

Simplifying (1) and (2), we have

x + 20/(y + 20) = 5/2  (1)

cross-multiplying, we have

2(x + 20) = 5(y + 20)

expanding the brackets, we have

2x + 40 = 5y + 100

2x - 5y = 100 - 40

2x - 5y = 60     (3)

So,

x -5/(y - 5) = 5/1  (2)

cross-multiplying, we have

(x - 5) = 5(y - 5)

expanding the brackets, we have

x - 5 = 5y - 25

x =  5y - 25 + 5

x = 5y - 20   (4)

Substituting (4 into (3), we have

2x - 5y = 60     (3)

2(5y - 20) - 5y = 60

10y - 40 - 5y = 60

10y - 5y = 60 + 40

5y = 100

y = 100/5 = 20

substituting y = 20 into (4), we have

x = 5y - 20   (4)

x = 5(20) - 20  

x = 100 - 20

x = 80

So, x/y = 80/20 = 4

x/y = 4/1

x:y = 4:1

At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?

Answers

Answer:

8

Step-by-step explanation:

Step 1: Add the cost of the posters together

Shark: 1 = $2

Jellyfish: 1 = $6

2 + 6 = 8

Step 2: Divide the result by the total amount Mr. Benson spent

64 ÷ 8

[tex]= \frac{64}{8}[/tex]

[tex]= 8[/tex]

Therefore, Mr. Benson bought 8 of each type of poster.

Please help! Struggling with this a bit

Answers

Answer:

Rate of change= 9   Starting amount= 65

The equation would be y= 9x + 65

After 9 months, he would have 146 vreels

For the graph, put the points (0, 65) (2, 83) and (4, 101)

james ran 1 mile in 8 minutes in the morning and 3.5 miles in 28 minutes in the evening

Answers

cool, what's the question?

If, f(x) = x^2 + 3x -2, then f(a + 1) =

I hate homework

Answers

Answer:

Step-by-step explanation:

nncdsncnklnklnckas

Find the value of x

Answers

Answer:

[tex]x=26[/tex]

Step-by-step explanation:

[tex]x^2=13(13+39)\\[/tex][tex]x^2=13(52)[/tex][tex]x^2=676[/tex][tex]x=26[/tex]

✧༝┉┉┉˚*❋ ❋ ❋*˚┉┉┉༝✧

hope it helps...

have a great day!!

Can 1-9 be solved please ANSWER FAST!!!

Answers

Answer:

1) solution

2x+3*5x=34

2x+15x=34

17x=34

x=34/17

x=2

2) solution

2*4y+3y=44

8y+3y =44

11y=44

y=44/11

y=4

3) solution

4y+5=3y-2

4y-3y=-2-5

y= -7

4) solution

2x+3=4x-1

3+1=4x-2x

4=2x

x=4/2

x=2

5) solution

4(y-1)=3y+3

4y-1=3y+3

4y-3y=3+1

y=4

6) solution

2(1/2y +3)-y=6

2/2y+3-y=6

y+3-y=6

2y=6

y=6/2

y=3

7) solution

8x+2(-4x+11)=13

8x-8x+11=13

11=13

8) solution

2x-3x-9=-4

-x=-4+9

-x=5

x= -5

9) solution

3(3y+1)-5y=11

9y+3-5y=11

4y=11-3

y=8/4

y=2

please marks brainliest I had to spend lot of time typing this.

Solve by substitution. Please show work
Y=-3x-14
-2x-y=9

Answers

Answer:

The value of x is -5 and y is 1

Step-by-step explanation:

Here,

y = -3x - 14

-2x - y = 9

Substitution Method

y = -3x - 14 ...(1)

-2x - y = 9 ...(2)

Now, substitute the value of y = -3x - 14 in equation (2) we get,

-2x - y = 9

-2x - (-3x - 14) = 9

-2x + 3x + 14 = 9

x = 9 - 14

x = -5

Now, put the value of x in equation (1) we get,

y = -3x - 14

y = -3(-5) - 14

y = 15 - 14

y = 1

Thus, The value of x is -5 and y is 1

FOR VERIFICATION ONLY:

y = -3x - 14

1 = -3(-5) - 14

1 = 15 - 14

1 = 1

-2x - y = 9

-2(-5) - 1 = 9

10 - 1 = 9

9 = 9

Hence, L.H.S = R.H.S

-TheUnknownScientist

An ice cream Store with 12 different flavors sells 1 and 2 scoop ice cream cones. A boy sitting outside the store Counted 11 people with ice cream cones and a total of 15 scoops of ice cream how many one Scoop cones were sold

Answers

Answer:

7 cones of 1 scoop ice cream were sold.

Step-by-step explanation:

A total of 15 scoops were sold .

Let x be the number of 2 scoop ice cream and y be the number of 1 scoop ice cream

Then

15= 2x+ y---- eq. 1

There were 11 cones sold.

and x+ y = 11--- eq.2

11-x= y

15= 2x+ y  

Putting value of y from eq.2 in eq. 1

15= 2x + 11-x

15= x+11

15- 11= x

x= 4

There will be 2*4=8 scoops  for 4 cones

ie 4 cones of two scoops ice creams will be sold.

11- 4= 7 cones

and 7 scoops for 7 cones

Why can't 6cm 5cm 8cm make a triangle

Answers

Because all of the sides should be the same length.

Answer:

They can, the lines just need to be sloped

a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball

Answers

Answer:

168.5 m/s^2

Step-by-step explanation:

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. Of a = 7 miles and b = 3 miles, what is the perimeter? If necessary, round to the nearest tenth.

Answers

Answer:

17.6 miles.

Step-by-step explanation:

Use Pythagoreans Theorem to find c.

a^2+b^2=c^2

49 + 9 = c^2

58 =c^2

√58=c

7.6=c

Now add all of your sides together to find the perimeter.

7 + 3 + 7.6 = 17.6 miles.

The perimeter of the triangle is 17.6 units.

What is the Pythagorean theorem?

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse c:

c² = a² + b²

c² = 7² + 3²

c² = 58

c = √58 ≈ 7.6 miles

The perimeter is the sum of the three sides:

Perimeter = a + b + c

Perimeter = 7 + 3 + 7.6

Perimeter ≈ 17.6 miles

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To which rational number subset(s) do the following numbers belong?

1, 4, 7, 11, 14
A.
whole numbers and integers only
B.
whole numbers and natural numbers only
C.
natural numbers and integers only
D.
natural numbers, whole numbers, and integers

Answers

None of the numbers are fractions or decimals.

The answer would be

D. natural numbers, whole numbers, and integers

REALLY NEED HELP WITH THIS!! OFFERING BRAINLIEST! ANY ABSURD ANSWERS WILL BE REPORTED!!

Answers

uhm there’s nothing there?

Answer:

what is the question tho you didn't post it

have a good day :)

Step-by-step explanation:

What value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? Show your work

Answers

Answer:

Um?

Step-by-step explanation:

What is the fractional form of 0.02?

А. 2/99
B. 1/11
C. 2/100
D.1/12

Answers

The answer is c because the 2 is in the 100ths place

The point (3, -1) is on the line given by which equation below?


A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x

Answers

Answer:

Just grabbin points

Step-by-step explanation:

Answer:

B. y = x - 4

Step-by-step explanation:

(x, y) = (3, -1)

y = x - 4

y = 3 - 4

y = -1

#CMIIW

A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (40)^2 = (54)^2[/tex]

[tex]a^2 + 1600 = 2916[/tex]

[tex]a^2 = 2916-1600 = 1316[/tex]

[tex]a = \sqrt{1316}[/tex]

[tex]a = 36.27671429[/tex]

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

3(−4)=12x What is the value of ?

Answers

Answer:

x = -1

Step-by-step explanation:

When given the following equation:

3(-4) = 12x

Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.

-12 = 12x

Inverse operations, divide both sides by (12) to undo the operation on the left side,

-1 = x

Answer:

as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u

Step-by-step explanation:

the answer -1=x

PROMISE TO GIVE BRAINIEST BUT ONLY IF YOU GET IT RIGHT!

Answers

Answer:

5.2

Step-by-step explanation:

Formula for any right triangle is a^2 + b^2 = c^2

So plug in the values and you get:

a^2 + 3^2 = 6^2

convert the squared numbers and you get:

a^2 + 9 = 36

subtract 9 from both sides

9 = 36

-9 = -9

you get:

a^2 = 27

we can't have a squared number as our answer, so we find the square root of both.

[tex]\sqrt{a^2 = 27}[/tex]

a^2 cancels out and you get:

a = 5.2 (simplified and rounded to nearest tenth)

Answer:

3√3

Step by step explanation:

36^2- 3^2= 27

√27= 3√3

3√3 = 5.2


-30 = -5
Pls help
...

Answers

Answer:

-25

Step-by-step explanation:

-30+5 = -25

A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?

Answers

Answer:

Step-by-step explanation:

we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem

[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]

[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]

[tex]C^{2}[/tex] = 49 + 144

[tex]C^{2}[/tex] = 193

C = [tex]\sqrt{193}[/tex]

C = 13.89 feet

Answer:

The square of the hypotenuse equals the square of the sum of the other two sides.

13.89ft

Step-by-step explanation:

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 7ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

Use of Pythagoras theorem

[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]

Hence, the length of the rope is 13.89ft.

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