A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters

Answers

Answer 1

Answer:

3282 m^2

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

r = (450,000 x (3/2) x(1/3.14)) ^1/3

r = 45.72

Area of a semicircle = 1/2 x n x r^2

1/2 x 45.72^2 x 3.14 = 3282 m^2


Related Questions

Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.



Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a. What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.



A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

Answers

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

What is the initial value of the function represented by this graph? (1 point) A coordinate grid is shown with x- and y-axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 5 with the ordered pair 7, 7. 0 4 5 7

Answers

Answer:

7

Step-by-step explanation:

got it right on the test

Missy and Bill were asked to evaluate the expression -3(-2 + 5).

Answers

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

using BODMAS, our mathematical operation begins with the bracket.

it implies that from -3(-2+5), we solve the bracket.

-2+5=3

then our mathematical operation is the 'of' operation.

it implies that -3(3) = -9

Answer is -9

What is the domain of the function on the graph?

Answers

Domain is the numbers that the x can be so it will be all real numbers

Lateral area
Surface area

Answers

Answer:

Step-by-step explanation:

What is the domain of the function {(-3, 4), (-1,3), (0, 4), (3, 6)}?

Answers

Answer:

Domain: {-3, -1, 0, 3}

Step-by-step explanation:

{(-3, 4), (-1,3), (0, 4), (3, 6)}

Domain is just the x values so:

Domain: {-3, -1, 0, 3}

the perimeter of a square is 28 feet. what is its area in square feet?

Answers

The area of the square is 49ft squared
Since the formula for the perimeter of a square is 4s then
4s=28
s=7

Now the area of square is s^2=a
(7)^2=a
49=a

I need help with math :)

Answers

Answer:

i think its the first one y<1/3x-1

Answer:

The second answer choice

Step-by-step explanation:


What is the prime factorization for 48?

Answers

Answer:

2^4 × 3

Step-by-step explanation:

2 ^ 4 x 3 would be the prime factorization for 48 <3

:) Find the surface area and volume of the cylinder below:
5 m
22 m
Surface Area:
m?
Volume:
m

Answers

Answer: 1727.9

Step-by-step explanation:

Volume = πr2h

= π×52×22

= 550π

= 1727.8759594744 feet3

find the general solution to "+′−6=3^2

Answers

Answer:

answer is -6=9

Step-by-step explanation:

Find the surface area of the ball shown. Use 3.14 for π.
Radius is 13 cm.

Answers

Answer:

Hi! answer: 530.66

Step-by-step explanation:

To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169

169 × 3.14 = 530.66 So that's our answer hope that helps!

Answer:

[tex]676 \pi \ cm^{2}[/tex]

What is the area of the parallelogram? ​

Answers

Answer:

A=Bh

Step-by-step explanation:

use that formula for your calculation and it should help hopefully

HELPPPPP PLEASE!!! I need to knowwww

Answers

Answer:

$25 is the hourly rate

Step-by-step explanation:

Besties helpppp please FASTTT

Answers

Answer:

180

Step-by-step explanation:

area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]

where a = base 1

b = base 2

and h = height

This is what we are given

base 1 = 23

base 2 = 37

and height = 6

That being said we plug in the given values into the formula

[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]

Hence the area of the trapezoid is 180 square feet

select all equations that have infinitely many solution ​

Answers

Answer:

1, 2

Step-by-step explanation:

1 and two end up being 0=0 solutions (infinite)

3 is 1 solution.

4 is no solutions.

how would you read the expression 54?​

Answers

Answer:

Five to the fourth power

Answer:

Five to the fourth power

Step-by-step explanation:

A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?


Use 3.14 for Pi, and do not round your answer.

Answers

Answer:

$16,725.21

Step-by-step explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the  sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture

= 15,778.5 * 1.06

= $16,725.21

There are 173 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 46 fans?

Answers

Answer:

4 buses

Step-by-step explanation:

There are 173 basketball fans

one bus can hold 46 fans

Hence the number of buses needed can be calculated as follows

= 173/46

= 3.76

= 4

Hence 4 buses are needed

find the perimeter of the shaded region

Answers

Answer:

13 u²

Step-by-step explanation:

Wren makes some rectangular display boxes. Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box?

Answers

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

see question above to solve

Answers

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

B is 30 degrees not 120

What is -10 + (-3/4)?
Answers:
-10 3/4
-9 1/4
9 1/4
10 3/4

Answers

Answer:

-10 3/4 hope this help

Step-by-step explanation:

Answer:

the first opinion is correct  

Step-by-step explanation:

5 dividido en 1.35.

Answers

Answer:

3.7

Step-by-step explanation:

if these triangles are similar,name the missing angles, (25 points )​

Answers

Answer:

170

Step-by-step explanation:

a jar holds 3 red, 2 white and 5 green marbles. What is the probability of not drawing out a white one?

Answers

Answer:

80%

Step-by-step explanation:

P(not white) = 8/10

is it a solution or not
y = 2x
y = x + 1

Answers

No its not.
Y = 2x
But y=/= x+1
Because 2x = x+x
= 2*x
But 1+x is not 2x
Let x be 5
2x = 2*5 = 10
Y = 10
but,
1 + 5 =/= 10
So y = 1+6

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

A warehouse worker is stacking boxes. The height of each box is 20 centimeters. She cannot stack the boxes higher than 5 feet.
1 inch 2.54 centimeters, 1 foot = 12 inches
What is the maximum number of boxes the warehouse worker can stack? Enter the answer in the box.
boxes​

Answers

Answer:

7 boxes

Step-by-step explanation:

We'll begin by writing convert 5 ft to in. This can be obtained as follow:

1 ft = 12 in

Therefore,

5 ft = 5 ft × 12 in / 1 ft

5 ft = 60 in

Next, we shall convert 60 in to cm. This can be obtained as follow:

1 in = 2.54 cm

Therefore,

60 in = 60 in × 2.54 cm / 1 in

60 in = 152.4 cm

Finally, we shall determine the maximum number of boxes the ware house worker can stack.

Total height = 152.4 cm

Height of 1 box = 20 cm

Number of box =?

Number of box = total height / height of 1 box

Number of box = 152.4 / 20

Number of box = 7

Therefore, the warehouse worker can only stack a maximum of 7 boxes

Find the area of the parallelogram. Include formula.

Answers

Answer:

24 units²

Step-by-step explanation:

Hi there!

[tex]A=bh[/tex] where b is the base and h is the height of the parallelogram

Plug in 6 as the base and 4 as the height

[tex]A=(6)(4)\\A=24[/tex]

Therefore, the area of the parallelogram is 24 units².

I hope this helps!

Answer:

Given :-

Height = 6 cm

Base = 4 cm

To Find :-

Area

Solution :-

We know that

Area = Base × Height

Area = 4 × 6

Area = 24 in²

[tex] \\ [/tex]

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