The volume of a cone, V , varies jointly with its height, h , and the square of its
radius, r . If k is the constant of proportionality, which of the following equations
represents the correct relationship between volume, radius, and height?

Answers

Answer 1

An equation is formed of two equal expressions. The equation that represents the correct relationship between volume, radius, and height is V=khr².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the volume of a cone, V varies jointly with its height, h, and the square of its radius, r. Therefore, the relationship can be written as,

V ∝ h(r²)

Also, k is the constant of proportionality, therefore, the equation now can be written as,

V = k×h×r²

Hence, the equation that represents the correct relationship between volume, radius, and height is V=khr².

Learn more about Equation:

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Related Questions

1. If x +y = -10 and x - y = 2, what is x equal to? *​

Answers

Answer:

y=-6

x=4

Step-by-step explanation:

Mhanifa please help fast

Answers

Answer:

Q1

Angles forming a linear pair are supplementary and sum to 180°

x + 8x = 180°9x = 180°x = 20°

The smaller angle is 20°

Q2

A(-2, 10) reflected over x-axis

Rule for such a reflection is:

(x, y) → (x, -y)

Point A will map to:

(-2, 10) → (-2, -10)

Correct option is D

Q3

One point is at the origin and two other points are at the distance m horizontally and vertically from the origin

The last point will have same distance m from the point (m, 0) and (0, m) and this will be point:

(m, 0 + m) = (m, m)

Alex bought a present for his friend. The box, with its dimensions, is shown below.
If Alex has 60 square inches of wrapping paper, does he have enough paper to wrap the gift? (Assume that the shape of the wrapping paper doesn't matter.)
O yes because the gift has a surface area of 48 square inches
O no because the gift has a surface area of 96 square inches
O yes because the gift has a surface area of 32 square inches
O no because the gift has a surface area of 64 square inches ​

Answers

Answer:

yes because the gift has a surface area of 48 square inches

Step-by-step explanation:

Surface area formula:

A = 2(wl + hl + hw)

2 · (4 · 4 + 1 · 4 + 1 · 4) = 48

y times the square root of x

Answers

Answer:

When you multiply a whole number by a square root, you just put the two together, with the whole number in front of the square root. For example, 2 * (square root of 3) = 2(square root of 3). If the square root has a whole number in front of it, multiply the whole numbers together.

Step-by-step explanation:

its there

Tanya used 3/4 cup of flour to make 1/2 batch of muffins. How many cups of flour will she need to make 1 batch

Answers

1 cup and 2/4 is what she meeds to make 1 batch

Answer:

Step-by-step explanation:

4

&
Question Details
Chorvinnaphear, Media, Tony, and Anthony opened a
bakery last month. In one week they sold 1,064 cakes.
The 4 of them were very excited because they made
$22,876. How much many cakes did they make on
average per day? How much money did they make per
day? How many cakes will they make per year? How
much money will they make per year?

Answers

Answer:

Cakes: 152 cakes per day, 55328 cakes per year  Money: $3268 per day, $1189552 per year

Step-by-step explanation:

Find the quotient: 7465 ÷ 5

Answers

Answer:

1,493

Step-by-step explanation:

7645/5=1493

Help me with this please! And thanks

Answers

The answer is 6,8,10.

Not only it is in perfect ratio with 3,4,5 as stated above, it also proves right in the equation. I can assume that a=6,b=8,and c=10, so [look in image]

what's the circumference of a circle with a diameter of 3 inches? Use 3.14 for pi

Answers

Answer:

C≈18.85

Step-by-step explanation:

You enter a lottery where you select 5 numbers from 1 - 30 without duplicating numbers.

How many possible combinations of numbers are there?

Answers

30x29x28x27x26= 17,100,720

PLEASE PLEASE HELP ME

Answers

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.

The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.

_____

Additional comment

I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.

Evaluate 3x + 7 for x = 5.

Answers

Answer:

22

Step-by-step explanation:

If x = 5, then plug 5 in for x .

3(5) + 7

15 + 7 = 22

Answer:

22

Step-by-step explanation: 3x + 7

3*5 = 15

15+7=22

The graph shows the amount the of food Ian's rabbits eat each week which equation can be used to find the number


A. y = 15x
B. y = 60x
C. y = 60x+10
D. y = 120x

Answers

The answer is B

Why? Because I just took it on the test and got I got it right

Alexander's football team scored 34 points in their last game. They scored 14 points during the first quarter, 3 points in the second quarter and 7 points in the third quarter. How many points did they score in the fourth quarter?​

Answers

Answer:

17!

Step-by-step explanation:

34 points in total:

14 + 3 in 1st and 2nd and 3rd which is 17

and so they scored about 27 points in the fourth

The phone case you want to buy is marked down 30% and you have a 25% off coupon. You pay 42 dollars. Can this equatio be used to find the original cost of the phone case?If so what is the original price of the item. Explain.

Answers

Answer:

Step-by-step explanation:

Original price = x

75% of 70% of x = $42

0.75*0.70x =$42

x = $42/(0.75*0.70) =$42/0.525 = $80

Q:
What is 9.687-3.699?

Answers

Answer:

5.988

Step-by-step explanation:

What does z equal?pls help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

==> -2z +10z -7 > = 2z -9z -4

=> 8z - 7 >= -7z -4

=> 8z +7z >= -4+7

=> 15z >= 3

=> z >= 3/15

===>

[tex]z \: \geqslant \frac{1}{5} [/tex]

The first side of a triangle is 4 inches longer then twice th second side the third side of a trianhle

Answers

Question:

The first side of a triangle is four inches longer than twice the

second side. The third side of the triangle is 5 inches shorter than

the sum of the other two sides. The perimeter is 72 inches. Find

the lengths of the three sides.

Answer:

The sides of the triangle are: 11.5, 27 and 33.5

Step-by-step explanation:

Let the first side be f, the second be s and the third be t.

So, we have:

[tex]f =4 + 2s[/tex]

[tex]t = f + s - 5[/tex]

[tex]Perimeter = 72[/tex]

Required

Determine the length of the three sides

Perimeter is calculated as:

[tex]Perimeter = f + t + s[/tex]

Substitute values for f and t

[tex]Perimeter = 4+2s + f+s-5 + s[/tex]

[tex]Perimeter = f+2s +s+s-5+4[/tex]

[tex]Perimeter = f+4s-1[/tex]

Substitute values for f and Perimeter

[tex]72 = 4+2s+4s-1[/tex]

[tex]72 = 2s+4s-1+4[/tex]

[tex]72 = 6s+3[/tex]

Collect Like Terms

[tex]6s = 72 -3[/tex]

[tex]6s = 69[/tex]

[tex]s= 11.5[/tex]

[tex]f =4 + 2s[/tex]

[tex]f = 4 + 2 *11.5[/tex]

[tex]f = 27[/tex]

[tex]t = f + s - 5[/tex]

[tex]t=27+11.5 - 5[/tex]

[tex]t=33.5[/tex]

The sides of the triangle are: 11.5, 27 and 33.5

Question 1 options:

68°

136°

158°

112°

Answers

9514 1404 393

Answer:

  (d)  112°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠P = 180° -∠R = 180° -68°

∠P = 112°

Answer:

112 degrees.

Step-by-step explanation:

This is an isosceles trapezium.

So the required angle = 180 - 68 = 112.

Solve for the bottom please!!! Only if you know!

Answers

Answer:

aproximately 23.5 I believe

Step-by-step explanation:

ok, so first you square 17, which is 289. then you square 29, which is 841. subtract 289 from that:

841-289=552

now take the square root of 552

aproximately 23.5 I believe

Answer:  23cm

Step-by-step explanation:

a² + b² = c²

x² + 17² = 29²

x² + 289 = 841

x²  = 552

√x²  = √552

x  ≈ 23 cm

on a certain hot​ summer's day, people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 1258.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Step-by-step explanation:

How many people used the public pool altogether? There isn't enough info

Anyways,

You would write two equations and solve using substitution / elimination / graphing

one equation is:

1.5x + 2.25y = 1258.5

(x is children, y is adults)

Answer:

158

Step-by-step explanation:

Which algebraic expression is equivalent to the expression below?
9(2x + 2)

A.
18x + 2

В.
9x + 4

C.
36x

D.
18x + 18

btw I will mark brainliest!

Answers

Answer:

I guess the answer is D - 18x + 18

A. g(x) = 4x2
B.
g(x)=2x2
(4)
D. g(x)=2x2
C. g(x)=
O

Answers

Answer:

It should be D on the photo

Help ASAP I’ll give brainliest!!!

Answers

Answer:you paid less for the bottle this week and it was $0.44 cheaper than last week

Step-by-step explanation:

hope this helps !

Answer:

You paid 0.89 cents less (also, is that schoology? just curious because thats what i use :))

Step-by-step explanation:

1 last week= $1.69

1 this week= 4÷$5 = 0.8 cents

You paid less for the bottle this week.

So you paid 0.89 cents less

What is my slope? How many assignments do I do?

Answers

Answer:

Your image is not showing up on my screen

but to find a slope is To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

Answer:

X=60

Step-by-step explanation:

Hello There!

The angle labeled 80 and the angles labeled x and 20 are alternate interior angles meaning that they are congruent

So

80=20+x

step 1 subtract 20 from each side

80-20=60

we're left with

x=60

Find the missing length of the triangle.
12
16
?

Answers

ISHSHWHDUEYWBWNEJWJWHSNEDUHD

The point-slope form of the equation of the line that crosses point (-2,5) and is parallel to
y=-4x-1, is

Answers

Answer:

The slope will be y=-4x-3

Step-by-step explanation:

This is because it is the only slope that hits the point (-2,5) and is parallel to the other slope

Hope this Helped

This is a timed test and I am running really low on time, please help with this question.

Answers

Answer:

D: (1 + x) f[x] == 3

R: x < -1 || x > -1

Step-by-step explanation:


Can someone help me with this geometry question ASAP ty

Answers

Answer:

11

Step-by-step explanation:

45 x 45

Answer: I honestly think its D, none of them.

Don't quote me on that, but I didn't get any of those answers except for D.

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