A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres?

Answers

Answer 1

Answer: Well the formula to find the volume of a sphere is 3/4(pi)r^3
sphere with the radius of 9: 3/4(pi)9^3 = 3053.63
sphere with the radius of 6: 3/4(pi)6^3 = 904.78
the difference: 2148.85

Answer 2

Answer: Difference of the volumes of the spheres=volume greater sphere - volume smaller sphere.

Volume of a sphere=(4/3)πr³

Difference of the volumes of the spheres=(4/3)πr₁³ - (4/3)πr₂³=(4/3)π(r₁³-r₂³)

Data:
r₁=9 ft
r₂=6 ft

then :

Difference of the volumes of the spheres=4/3π[(9 ft)³ - (6 ft)³]=(4/3)π(513 ft³)=
≈2148.85 ft³.

Answer: 2148.85 ft³

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Answers

Division Problem: 90 people were invited to the party.

1. How many tables are needed, if each table can seat 8 people?

2. How many tables will be completely full?

3. How many people will be at an incomplete table?

Solution:

You have that 90=8·11+2 (8 - divisor, 11 - quotient, 2 - remainder).

Since the quotient is 11, 12 tables are needed, 11 tables will be completely full and the last 12th table will be incomplete, only 2 people will be at this table.

Answer: 1. 12 tables, 2. 11 tables, 3. 2 people

Lets say that 46 divided by 5 is 9 with a remaidnder of 1.First you have to multiply 9 with 5.Then take the reaminder and add it to the answer you get form multi pining 9 and 5.

How to write a story that would be represented by the ratio 1:4

Answers

Once upon a time there was a surprise for a girl named Cassy ,her 4 friends ordered a pie because it was a surprise pie party. Only 1 out of the 4 got to eat the pie since they all wanted to play with the pie pinata. Hope this helped :)

The graph below is the graph of a function

A. True
B. False

Answers

Answer:

A. True

Step-by-step explanation:

Use vertical line test to find our whether the line is the graph of a function or not.

From the photo, we can see that only one output ( value of y) for one input ( value of x) and all vertical lines intersect a curve at most once then the line represents a function.

Hope it will find you well.

Answer:

false

Step-by-step explanation:

how long would it take me to earn $139.50 of interest at a 6% interest rate if I started with $930.00

Answers

It would be I=PRT 139.50=(930)(0.06)T And then I believe you would multiply then divide and get 2.5 years

I need to find the distance between pairs of integers like 8 and 32; 15 and 64; and -27 and 18. How do I do this?

Answers

Answer:

i believe you have to divide 8 by each number to get the distance between the pairs of integers.

Step-by-step explanation:

S=2πr^2+2πrh
Solve for h

Answers

h = [S / (2πr)] - r

Further explanation

It is a case about two-variable linear equations and we have to solve the equation to get the variable h.

Our main plan is to isolate the variable h alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

$\boxed{S = 2 \pi r^2 + 2 \pi rh}$

We can set it to be like this, i.e., just swapping positions on both sides but not changing the signs.

$\boxed{2 \pi r^2 + 2 \pi rh = S}$

We subtract both sides with $\boxed{2 \pi r^2}$ .

$\boxed{2 \pi r^2 + 2 \pi rh - 2 \pi r^2 = S - 2 \pi r^2}$

$\boxed{2 \pi rh = S - 2 \pi r^2}$

We divide both sides with $\boxed{2 \pi r}$

$\boxed{(2 \pi rh)/(2 \pi r) = (S - 2 \pi r^2)/(2 \pi r)}$

$\boxed{h = (S)/(2 \pi r) - (2 \pi r^2)/(2 \pi r)}$

We get the results as follows: $\boxed{\boxed{h= (S)/(2 \pi r) - r}}$

- - - - - - -

Let's check again from the beginning.

For example, r = 2 and h = 3, then we first calculate the value of S by using the initial equation.

$\boxed{S=2 \pi (2)^2 + 2 \pi (2)(3)}$

$\boxed{S = 8 \pi + 12 \pi }$

$\boxed{\boxed{S= 20 \pi}}$

Then, we substitute the results of S (with r = 2) into the new equation that we have compiled with h as the subject.

$\boxed{h =(20 \pi)/(2 \pi (2)) - 2}$

$\boxed{h = 5 - 2}$

We get the value h = 3 and it means that the equation has been proven.

Notes:

The formula that we discussed above is a formula for calculating the surface area of a closed cylinder.

$\boxed{S = 2 \pi r^2 + 2 \pi rh}$

Learn more

Step by step to solve ²/₇m - ¹/₇ = ³/₁₄ brainly.com/question/4853649
Expression of a sum of cubes brainly.com/question/3638399
About complex numbers brainly.com/question/1658190

Keywords: S=2πr^2+2πrh, solve for h, subtract, divide, subject, to isolate the variable h alone, two-variable linear equations

Final answer:

To solve for 'h' in the equation S = 2πr^2 + 2πrh, subtract 2πr^2 from both sides, divide by 2πr, simplifying the right side of the equation.

Explanation:

To solve for h in the equation S = 2πr^2 + 2πrh:

Start by subtracting 2πr^2 from both sides of the equation to isolate the term containing h.
This gives us 2πrh = S - 2πr^2.
To solve for h, divide both sides of the equation by 2πr.
The final step is to simplify the right side of the equation, giving us h = (S - 2πr^2) / (2πr).

Learn more about Equations here:

brainly.com/question/18577777

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