The volume of air in the spherical ball is [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]. So the option A is correct.
In the given question, we have to find the volume of air in the spherical ball.
A sphere's capacity is measured by its volume. It is the area the sphere calls home. Cubic units are used to express the volume of a sphere. The sphere has a three-dimensional, rounded shape. Its shape is defined by its three axes, which are the x, y, and z axes.
Since the cross-section of the sphere is a circle, the volume in this situation is dependent on the radius's diameter. A sphere's surface area is the area or region of its outside. The following formula can be used to determine the volume of a sphere whose radius is "r":
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
As given r = 3·10^2. So,
V = [tex]\frac{4}{3}\pi (3\cdot 10^2)^{3}[/tex]
V = [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]
V = [tex]4\cdot \pi\cdot 3^2\cdot 10^6[/tex] cm^3
Hence, the option A is correct.
To learn more about volume of sphere link is here
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The complete question is given below:
please help me please do them all its just thrree
Step-by-step explanation:
hope this helps. I worked out then posted.
on monday, johnny had $30 in his lunch account. On Friday, he had $15 in his account.
Answer:
Im a little confused as to what the question is
Step-by-step explanation:
I believe that maybe your question was, "how much money is the lunches at the school?" if so.. I can help.
If he spent $15 for 5 days, and we are assuming he had lunch every day....
$15 divided by 5 equals $3.
The school lunches are $3.
PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!
Step-by-step explanation:
The answer is 220in^2 and hope it's useful and helpful to you.
An inlet pipe can fill a water tank in 12 hours. An outlet pipe can drain
the tank in 20 hours. If both pipes are mistakenly left open, how long will
it take to fill the tank?
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Explanation:
Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.
If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.
At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.
With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.
This means it will take 240/8 = 30 hours to fill the tank with both pipes open.
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Another approach:
The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.
The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30
This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".
If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1
(rate)*(time) = 1 job
(1/30)*x = 1
x = 30*1
x = 30
It takes 30 hours to do the job with both pipes open.
Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720
Answer: 10 years
Step-by-step explanation:
1720=960(1+0.061/12)
If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?
Answer:
288 trust me it is 100% right I tried it as an answer an got it right.
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
From the first two parts of the problem, we have
18√8 - 8√18 = 36√2 - 24√2
= (36 - 24)√2
= 12√2.
Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so
n = (12√2)²
= 12²(√2)²
= 144 ∙ 2
= 288.
4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
which of this numbers should go inside the box to make the equation true blank plus 4 over 2 equals 10
Given:
The expression is
[tex]\dfrac{\_\_\_+4}{2}=10[/tex]
To find:
The number of the blank.
Solution:
Let x be the missing number for the blank. Then,
[tex]\dfrac{x+4}{2}=10[/tex]
Multiply both sides by 2.
[tex]x+4=20[/tex]
Subtract 4 from both sides.
[tex]x=20-4[/tex]
[tex]x=16[/tex]
Therefore, the missing number for the blank is 16.
2/3 of all your books are fiction. 1/6 of those are historical fiction.
What fraction of all your books are historical fiction?
1/9
1/18
1/3
1/2
Answer:
1/9
Step-by-step explanation:
2/3 x 1/6 = 2/18 or 1/9
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
find the sum −10t−7−10t−7
Answer:
-20t-14
Step-by-step explanation:
-10t-10t= -20t
-7-7= -14
how do you solve 0.4m(40m-20n)
Answer:
= 16m2o−8mno
Step-by-step explanation:
Please help I only have 1 hour left .
Answer:
c
Step-by-step explanation:
a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?
i will mark u brainles if you're correct
9514 1404 393
Answer:
rules of exponents apply
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Applying those rules to the given equation, you get ...
[tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]
I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?
3 over 7, 2 over 5, 3 over 4, 2 over 9
2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9
Answer:
2/9 = 0.2 repeating
3/7 = 0.428571 repeating
Step-by-step explanation:
Which equation is true?
Answer:
i think its the 3rd option
6/54-x = 5/x
x=____
Answer:
x=−44/9
Step-by-step explanation:
6/54−x=5/xx
Simplifies to:
−x+1/9=5
Let's solve your equation step-by-step.
−x+1/9=5
Step 1: Subtract 1/9 from both sides.
−x+1/9−1/9=5−1/9
−x=44/9
Step 2: Divide both sides by -1.
−x/−1=44/9/−1
x=−44/9
Solve 4/y=2/11 plz i need answer
Evaluate expression: 3(5g + 5 - 2)
Answer: 15g + 9
Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.
What is the input value for which f(x)=3?
Answer:
According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5
Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy
Answer:
13/3
Step-by-step explanation:
The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.
Answer:
13/3
Step-by-step explanation:
(4x3+1)/3
=(12+1)/3
=13/3
solve 256^(x+2)=16^(3x-1)
x=
make m the subject of the formula in 3-mx/2+2y=p/q
It means we want to isolate m so...
mx/2+2y=p/q
mx/2=p/q-2y
mx=2p/q-4y
m=(2p/q-4y)/x
Hope this helped if you have any more questions ask it in questions.
Can someone help? Correct answer gets brainliest!
Answer:x= 8
Step-by-step explanation:11-3=8. 8+3=11
HELP ME PLSS!!
Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.
the question is Describe the type of equation that models Ella’s situation. Create that equation of Ella’s situation. Using the equation you created, how much money will be in Ella’s account after 2 years? 10 years?
You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.
Answer:
Step-by-step explanation:
Use formulaic methods. Since she has interest on her money, we have to include it:
i = log(x-4*7)^k
i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest
i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years
i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years
Amount after 2 years: $30,000
Amount after 10 years: $15,671
What is the approximate volume of a cone with height of 6 mm and a radius of 18 mm use 3.14 to approximate pi and express your final answer to the nearest hundredth
Answer: 2034.72
Step-by-step explanation: i got 100% on the quizz and it is correct.
Please help me, I am unsure how to do this
Answer:
-1/4
Step-by-step explanation:
A light bulb manufacturer claims that the lifetime of the bulbs is normally distributed with a mean of 5000 hours and a standard deviation of 250 hours. If 20000 bulbs are produced on a particular day, what percentage of the bulbs will have a lifetime of between 4750 and 5500 hours?
Answer:
88
Step-by-step explanation:
A basket holds n apples. You pick (2n − 3) apples, and your friend picks (n + 4) apples.
How many baskets would you need if you collected 10 apples with your friend?
Answer:The equation would be 3n+1 apples.
Step-by-step explanation: