Given a sphere with a volume of 2000 cm", find the area of the perpendicular cross section right through its center.​

Answers

Answer 1

As a result, the sphere's center's perpendicular cross section has a surface area of about 246.3 cm2.

what is volume ?

The volume of an object in mathematics is a measurement of how much space the object occupies. It is a three-dimensional measurement that expresses how much space a solid shape encloses. Typically, cubic quantities like cubic metres (m3), cubic feet (ft3), or cubic centimetres (cm3) are used to measure an object's volume. An object's shape affects the formula used to determine its volume. A rectangular prism's volume, for instance, can be determined by multiplying its length, width, and height. A cylinder's volume can be determined by dividing the base's area by the height.

given

The following formula determines a sphere's volume:

V = (4/3)πr³

where V stands for volume and r for sphere's radius. This formula can be changed to account for the radius:

r³ = (3V) / (4π)

r = (3V / 4π)^(1/3)

By replacing the specified volume of 2000 cm3, we obtain:

r = (3(2000) / (4π))^(1/3) ≈ 8.86 cm

The area of a circle with a radius equal to the sphere's radius is the area of a perpendicular cross section through the centre of a sphere. Hence, the cross section's area is:

A = πr²

When we substitute r's value, we obtain:

A = π(8.86)² ≈ 246.3 cm²

As a result, the sphere's center's perpendicular cross section has a surface area of about 246.3 cm2.

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Related Questions

!! Please help, due soon !! (No scam answers or links, ty.)
Is the following expression a monomial, binomial, or trinomial? 2a^2 - 5a + 7

Answers

Answer: Trinomial

Step-by-step explanation: This expression has 3 terms (2a^2, -5a, and 7), so it is a trinomial. An easy way to remember this is that 'tri' = 3, 'bi' = 2, and 'mono' = 1. Hope this helped :)

Gift Wrapping A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Answers

Answer: v= 3360

If you’re looking for the volume V=whl =14 • 16 • 15= 3360

answer:

768 in²

step-by-step explanation:

since the box is being wrapped, you'll need to use the tsa (total surface area) formula-

a=2(w*l+h*l+h*w)

= 2·(6·15+14·15+14·6)

= 768

˜”*°•.˜”*°• good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day! •°*”˜.•°*”˜

Andrew has a round trampoline with a diameter of 4 yards. What is the circumference of the trampoline?

Answers

You would use this formula for the problem...

(C=2πr) The circumference equals 2 multiplied by pi and radius.

In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.

C=2π(2) since 2 is half of 4, that's your radius.

Your answer is roughly C= 12.57.

You're welcome.

Can someone please explain how to do this question, find x.

Answers

Answer:

x = 74.7m

Step-by-step explanation:

[tex] \sin(42) = \frac{50}{x} \\ 0.67 = \frac{50}{x} \\ x = 50 \div 0.67 \\ x = 74.7m[/tex]

calculate the difference between the two times.
8: 15 am. or pm

3: 30 am or pm.

Answers

Answer:

5:15 pm is the answer for the question

2.
Abus drove 70 miles in 2 hours. What is the unit rate?
d
b
70 miles
35 miles
140 miles
140 miles
1 hour
2 hours
1 hour
4 hours
No

Answers

Answer:

The unit rate is 35 miles per hour

Step-by-step explanation:

QUICKK The Johnson family went to a socially distance movie and paid $30 for two adults and two children the modern family went to the same movie and paid 35 for two adults and three children what was the price of an adult ticket

Answers

Answer: adults = $10

Step-by-step explanation:

x = adults

y = children

2x + 2y = 30

2x + 3y = 35

Using the elimination method:

2x + 2y = 30

-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)

Solve for y...

2y = 30

-3y = -35

Add together...

-y = -5

Multiply by -1 to give positive value for y...

y = $5

Plug into one of the original equation to find x...

2x + 10 = 30

2x = 20

x = $10

Changing the order of numbers and what
2 operations changes the answer?

Answers

Answer:

If you change the order of the numbers when adding or multiplying, the result is the same. Use the commutative properties to rewrite the following expressions: Use the commutative property of addition to change the order. Use the commutative property of multiplication to change the order. Use the commutative properties to rewrite the following:

Step-by-step explanation:

Help! :))

In 10 years the population increased from 87,196 to 120,310. By how many people did the population increase in 10 years?

Answers

Answer:

33114

120310 - 87196=33114

Step-by-step explanation:

Which fraction is equivalent to - (7/8) ?

1. -(-7/8)

2. - ( 7/-8)

3. -7/8

4. -7/-8

Answers

Answer:

C: -7/8

Step-by-step explanation:

It makes the whole fraction negative just like the one you are comparing it to

What is the area of this parallelogram?

in or in2

Answers

Answer:

A=30 in

Step-by-step explanation:

Solution

A=bh=5·6=30

A=30 inches
Step by step
Explain
A=bh=5.6=30

the sum of two integers is less than -57. one integer is 23 what is the other integer?

Answers

Answer:

The other integer is less than -80

Step-by-step explanation:

The given sum of the two integers < -57

The value of one of the integers = 23

Let 'b' represent the value of the other integer, we are given;

b + 23 < -57

Therefore, we have;

b < -57 - 23 = -80

Therefore, the other integer, b < -80.

Help me please, i am terrible at math

Answers

Answer:

the correct answer is option C

Calculate the surface area of a 9' by 8' by 11' rectangular prism. Just enter the number, not the unit.
PLEASE HELP!

Answers

Answer:

518

Step-by-step explanation:

LxWxH

9*8*11

518

2 and 1/2 divided by 3/8 as a fraction

Answers

Answer:

6 and 2/8 or reduced to 6 and 1/4

Step-by-step explanation:

Which of the following statements is NOT true?
A. -4 divided by 7 is a negative number
B. -4/-7 = 4/7
C. -2 (-3+0.5) = (-2) (-3) + (-2) (0.5)
D. (-2) (1/3) (-4) is a negative number

Answers

The answer is D. The answers equals out to be positive, therefore, is false.

Write story problem that uses addition and has a solution of 6 (x=6)

Answers

Answer:

Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.

First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.

20 + 10 +30 = 60

40 + 0 + 40 = 80

40 + 10 = 50

Then exchangeing these numbers into values and we have the following equation.

x + 2y + 3z = 60

2x + 4z = 80

2x + z = 50

If you will solve them manually by substituting their variables into these equations, you can get

x = 20

y = 5

z = 10

Step-by-step explanation:

The answer could possibly be 0+x=6

What is the number of real solutions?
4x^2 + 9 = -12x
O no real solutions
O two solutions
one solution
cannot be determined

Answers

2 solutions, the root to the equation is the same as the root to the solution also known as “double roots”

elisha wants to attend the town carnival. the price of the admission to the carnival is $5.50, and each ride costs an additional 88 cents. if he can spend at most $26.00 at the carnival, which inequality can be used to solve for r the number of rides elisha can go on, and what is the maximum number of rides he can go on?
(1) 5.50 + 0.88r ≤ 26.00; 23 rides
(2) 0.88 + 5.50r ≤ 26.00; 23 rides
(3) 5.50 + 0.88r ≤ 26.00; 24 rides
(4) 0.88 + 5.50r ≤ 26.00; 24 rides
please explain

Answers

Answer:

5.50 + 0.88r ≤ 26.00; 24 rides

or 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

mrk me brainliest plz

i can't explain it i just look at a math problem and auotomatically know the answer

Answer:

(1) 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

First of all, please understand the equation itself. We are multiplying 0.88 by r, or the number of rides. First, lets determine how many rides Elisha can ride. 0.88 * 23 = 20.24. And 20.24 + 5.50 = 25.74. This is less than 26.00. Now, 0.88 * 24 = 21.12 + 5.50 = 26.7. Though not by much, this is more than 26.00, so, Elisha cannot ride more than 23 rides. That eliminates options (3) and (4). The difference between (1) and (2) is that in (1) we are multiplying 0.88 by r which is correct, however, option (2) is multiplying 5.50 by r which is incorrect. Thus we have our answer. However, please note one important thing. I want you to understand the reason for the "≤" sign as this is very different from <. The sign used here indicates "less than OR equal to" whereas the other is "less than." The sign used indicates that this is the MAX Elisha can spend but he could also spend less. This may seem simple but it is crucial to have a good understanding of this concept as you progress. Any further questions just comment! Hope this helps:) P.S. do not just take the answer! READ, PRACTICE, AND UNDERSTAND.

Find the value of x.​

Answers

Answer:

c

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Mary says that the opposite of 0 is 0. Is she correct? Explain.


PLEASE HELP

Answers

Answer:

Mary should be correct because -0 doesn't exist.

Evaluate the expression 2x^2 - x, when x = -3.

Answers

Answer:

21

Step-by-step explanation:

2(-3)^2-(-3)

2(9)+3

18+3= 21

HELP PLEASE BRAINLEST FOR ANSWER Which sample is biased?
Which is not baised
A.
A book store owner surveys 50 customers to find out if they like to read.

B.
Two students survey 100 people on the street asking for their favorite soda.

C.
A phone system randomly calls people living in a city asking for their favorite store.

D.
A computer program randomly emails a survey to customers to see if they are satisfied with the service.



Answers

Answer:

I think A and B are biased and C and D aren't.

Step-by-step explanation:

A and B are surveying a certain amount of people while C and D are surveying people at random

C is in a good way to get your info from your email message to you as soon as I receive your message I thank you for the info I appreciate it thanks so much for sharing my prayers and prayers thank for all the hope you for your day thank you so much for your patience I keep you in the loop

Factor 49p+42.
Write your answer as a product with a whole number greater than 1.

Answers

Answer:

Step-by-step explanation:

Factor 49p+42

49p+42

=7(7p+6)

Answer:

7(7p+6)

Find the area explain how you got your answer​

Answers

Answer:

189.27in^2

Step-by-step explanation:

Area of the rectangle is l*w

15*10= 150

Area of the circle is π r^2

We don't have radius but we have diameter so 10/2 =5

so A= π 5^2

78.53982, but we need half that since its only half a circle.

78.53982/2 = 39.26991

39.26991 + 150 = 189.26991

Pls help I am stuck and it is due soon number 6

Answers

Answer:

1/4

Step-by-step explanation:

First, you add all the marbles together to make the total. 6 + 5 + 4 + 9 = 24.

Then, make 6 the numerator and 24 the denominator. [tex]\frac{6}{24}[/tex]

Next, simplify. [tex]\frac{6}{24}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

Lastly, have a wonderful day! :)

Answer:

THEN ANSWER I BELIVE IS A bc if mutiply them the marbles u mutiply AND YOULL GET 2 5/7

Step-by-step explanation:

Find value of 'k' and solve for unknown variable

Answers

Answer:

k = 27/4

y = 283.5

Step-by-step explanation:

Let

y = amount of water used

x = number of dogs washed

y = kx

y = 81 gallons

x = 12 dogs

y = kx

81 = k * 12

81 = 12k

Divide both sides by 12

81/12 = 12k/12

k = 81/12

k = 27/4

k = 6.75

Find x when y = 42 dogs

y = kx

y = 27/4 * 42

y = (27*42) / 4

y = 1,134 / 4

y = 283.5

y = amount of water used = 283.5 gallons

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

aas

Step-by-step explanation:

it's marked two angles and one side, which is angle angle side, the posulate aas.

what is the CORRECT answer?

Answers

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

I need helppppp :(((

Answers

The answer is 111 square units. You do this by using the formula
111 square units hope this helped but all you have to do is use the formula for A
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