The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?
A. 8.06 cu. in.
B. 10.75 cu. in.
C. 21.5 cu. in.
D. 32.25 cu. in.

Answers

Answer 1

Answer:

B.   10.75 cu. in.

Step-by-step explanation:

Vol. of cylinder = π[tex]r^{2}[/tex]h = 32.25

If the cone has the same radius and height,

then the vol. of the cone = π[tex]r^{2}[/tex]h/3 = 32.25/3 = 10.75 cu. in.


Related Questions

The perimeter of a certain square is 4 yards. Find the area of the square in square feet.

Please someone help

Answers

Step-by-step explanation:

Write what you know

A square has 4 sides

the perimeter is the sum of the length of all 4 sides

so 4yards / 4 sides = 1 yard per side

we also know a square has all equal sides

that means our area formula will be 1 x 1

12 perimeter 16 area

help please this makes no sense

Answers

Labeling your coordinate points makes it really easy to solve!

Factor the expression 36a4b10  81a16b20 using the two different techniques listed for Parts 1(a) and 1(b). (a) Factor the given expression using the GCF monomial. (a) Factor the given expression using the GCF monomial. (b) Factor the given expression using the difference of squares.

Answers

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

What is the correct factored for of x^2-9/x-3 to show a common factor can be divided out?

Answers

Answer:

should be x^2-9/x-3

I need the answer immediately!!!!!!

Answers

Y=-2/3-5 That’s the answer change of y is down 2 change in x is 3 to the right . And the y intercept is -5

please help me whats
2+2-4/2?

Answers

Answer:

2

Step-by-step explanation:

4/2=2

2+2=4

4-2=2

Answer:

2

Step-by-step explanation:

(No step-by-step explanation)

(Only need 17) plz help will mark brainliest plz show work

Answers

Answer:

look at the picture i have sent

HI PLEASE ANSWER THIS QUESTION FOR ME IM GIVING OUT BRAINLIEST AND 20+ POINTS !! D:

Answers

Answer:

12

Step-by-step explanation:

Mayra bought a pair of sneakers. They originally cost $75 but were on sale for 15% how much mony did she save

Answers

Answer: $11.25

Step-by-step explanation:

Since the sneakers were on sale for 15% less, the amount she bought them will be:

= (100% - 15%) × $75

= 85% × $75

= 0.85 × $75

= $63.75

Therefore, the amount she saved will then be:

= $75 - $63.75

= $11.25

She saved $11.25

PLEASE HELP

4 cans of orange juice and 7 cans of apple juice are in a sports bags what is the probability of drawing out one can of apple juice without looking? write your answer as a decimal rounded to two decimal places.​

Answers

Answer:

1.36

total cans =11

the prob. of drawing orange juice can= 4/11

the prob of drawing apple juice can= 7/11

the prob of drawing any of the juice= 4/11 + 7/11

= 15/11

= 1.36

This math problem please thank youu.

Answers

the area is 84......

hello please help i’ll give brainliest

Answers

Answer:

Step-by-step explanation:

A i think

I think that the answer is the first one

Little help, please thank you

Answers

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56  x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) =  around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

Hakeem left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Hakeem is

x

x minutes after he left his house, until he got back home.

Answers

The question isnt shown.

Jim was thinking of a number. Jim doubles it, then adds 19 to get an answer of 70.1. What was the original number?

Answers

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

x = 25.55

Hence the required answer is 25.55

HELPP!! this is due in like 30 minutes and i have to get this done! someone pls help

Answers

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

Sues dad fixed her play table each of the 4 legs took 2 nails how many nails did he use

Answers

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

Write a rule for g described by the transformations of the graph of f.
Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left
of the graph of f(x)=(21x)^1/2

Answers

Answer:[tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]

Step-by-step explanation:

Transformation rule:

Shifting by k units left : [tex]f(x)\to f(x+5)[/tex]

Dilation by a factor of h units: [tex]f(x)\to hf(x)[/tex]

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left  of the graph of [tex]f(x)=(21x)^{1/2}[/tex]

The rule for g described by the transformations of the graph of f. : [tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]

The time it takes John to get to the store is inversely proportional to

his rate. John walks at a rate of 3 miles per hour. It takes him 20

minutes to walk to the store. He rides his bike at a rate of 15 miles

per hour. How long would it take John to ride his bike to the store?

Answers

Answer:8 mph

Step-by-step explanation:

SOMEONE ANSWER QUICK!!

Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??

Answers

Answer:

3/4 pizza is left. If you want an explanation, ask me ;>

Answer:
3/4

Explanation:
You have 4 and you eat 2 7/12. Leaving you 1 5/12. Then you eat 8/12 more leaving you 9/12 which simplifies to 3/4

Simplify: l 120-x l if x<120

Answers

Answer:

120-x

Step-by-step explanation:

If x is already less, then you don't need absolute value

Find lawn area in m^2

Answers

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

HELP help peardeck one question

Answers

Answer:

Step-by-step explanation:

=x^2-x+3+3x^2-3x+2

=5x^2-4x+5

HELP!!! this is graded and no links pls!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

the answer :
c
self explanation

find the slope between (-3,2) and (-7,-16)

Answers

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

                                       

                                 

What's the max/min of y=x^2-24x+166

Answers

put it in desmos and you'll answer will pop up on the graph just look at the middle point

Sin0=20/29 find tan 0

Answers

Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=[tex]\sqrt{441\\}[/tex]

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Help I don’t know how to do this

Answers

1-31
2-149
3-31
4-149
6-31
8-31
The angles across from one another have the same values and two angles next to each other should have angles that add up to 180

Ron packed 37 oranges. He wants to put them in crates. Each crate holds four equal rows of three oranges. How many crates can he fill with oranges? Will there be any left over?

Pls put ur answer in words

Answers

Answer:

He can fill 3 crates, there would be 1 orange left over

Step-by-step explanation:

four equal rows of three oranges = 12 total. 12x3= 36, so 1 left over

A store sells 1 3/4 pound package of roast beef for $12. what is the unit price?

Answers

Answer:

Unit price of roast beef = $6.86

Step-by-step explanation:

Given:

Cost of [tex]1\frac{3}{4}[/tex] pound package of roast beef = $12

Find:

Unit price of roast beef

Computation:

Unit price of roast beef  = Cost of 1 pound package of roast beef

[tex]1\frac{3}{4}[/tex] pound package of roast beef = 7 / 4 = 1.75 pound package of roast beef

Cost of 1 pound package of roast beef = Total cost / Total mass

Cost of 1 pound package of roast beef = 12 / 1.75

Cost of 1 pound package of roast beef = 6.857

Unit price of roast beef = $6.86

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