A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.​

Answers

Answer 1

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

Answer 2

Answer:

8.1

Step-by-step explanation:


Related Questions

moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.​

Answers

Answer:

34.06=20+0.19m

Step-by-step explanation:

The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.

34.06=20+0.19m

First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.

34.06-20=20-20+0.19m

14.06=0.19m

Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation

m=74

This means that the customer drove 74 miles.

Consider a political discussion group consisting of 8 ​Democrats, 4 ​Republicans, and 2 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats

Answers

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

Find two numbers with sum 82 and difference 30.

Answers

Answer: I think it would be 112.

Step-by-step explanation:

One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

express the scientific notation:4830000000 with all formula​

Answers

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Betsy works from 6:00 AM to 12:00 PM, takes an unpaid lunch break from 12:00 PM to 1:00pm, then works from 1:00 PM to 3:30 PM. How many hours did Betsy work?

Answers

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

Read more about mathematics operations at:

https://brainly.com/question/1512595

#SPJ2

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?

Answers

Answer:

$25.00 which is $24.50

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): Dot was discarded near "x.s".

(2): "37." was replaced by "(37/1)".

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

Solve for x.
(x + 13) ft
24 ft

Answers

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

10 flowers in 5 vases = ? flowers per vase

Answers

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?

Answers

hahahahahahahahahahaha

srsly tho

is this still a problem you have? if so ill solve it.

which is not solution to the folloeing linear equality

A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)​

Answers

Answer:

B

Step-by-step explanation:

Help will give crown

Answers

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

brainliest if correct1+1​

Answers

Answer:

11

Step-by-step explanation:

:>

Answer:

1+1=2 is the answer

Step-by-step explanation:

mark me as brainlist

What is the discriminate?

Answers

so it’s basically asking for the difference

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?

Answers

Answer:   £9419.22

================================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 8200*(1+0.02/1)^(1*7)

A = 9419.2224747241

A = 9419.22

Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

Can somebody plz answer this math problem correctly thanks!

WILL MARK BRAINLIEST :D

Answers

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?

Answers

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

Find the slope of the lines that go through the following points.

Answers

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

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