The formula for the volume of a cone is V=13πr2h,V=\frac{1}{3}\pi r^2 h,V=31​πr2h, where r is the radius of the cone and h is the height of the cone. Rewrite the formula to solve for the positive value of rin terms of h and V.

Answers

Answer 1

Answer:

r = √3V/√πh

Step-by-step explanation:

V = 1/3πr²h

where,

V = volume of the cone

r = radius of the cone and

h = height of the cone.

Rewrite the formula to solve for the positive value of r in terms of h and V.

V = 1/3πr²h

V = 1/3 * π * r² * h

r² = V ÷ 1/3 * π * h

r² = V ÷ πh/3

r² = V × 3/πh

r² = 3V / πh

find the square root of both sides

√r² = √3V / πh

r = √3V/πh

Also written as

r = √3V/√πh


Related Questions

What is the slope of a line that goes through the points (1, -5) and (-3, 2)?

- 7/4
- 4/7
- 3/4
- 4/3

Answers

Answer:

-7/4

Step-by-step explanation:

change in y over (/) change in x

or

f(b) - f(a) over (/) b - a

= 2-(-5) / -3-1

= 2+5 / -3-1

= 7 / -4

Is Q the midpoint of line segment PR? Justify your answer with numbers and words.

Answers

Answer:

[tex]5x+8x+10-3=72\\13x=65\\x=5\\reapplying\\5(x+2)=5*7=35\neq (\frac{72}{2}=36 )[/tex]

No it's not the Midpoint

Eddie bought 3 train tickets 17.00 each. If he paid with three $20 bills, how much change did Eddie receive?

Answers

Answer:

Step-by-step explanation:

Think of it as if he paid for each ticket with one $20 bill.

He gets $3 change from each one so his total change is $(

Can’t figure this one out

Answers

B……………. Thank me laterrr.

subtract 8x-8y+9 from 5x-8y-z

Answers

The answer is 3x+z+9 hope this helps

Solve the system of equations. Write you answer as an ordered pair.

X - 3y = -13

3x + 7y = 25​

Answers

Answer:

Step-by-step explanation:

x - 3y = -13

x = -13 + 3y

3 * (-13 + 3y) + 7y = 25

-39 + 9y + 7y = 25

16y = 64

y = 4

3x + 7 * 4 = 25

3x = -3

x = -1

Answer: (-1, 4)

Can someone help me? It's urgent and thank you!

Answers

Answer:

35 or A

Step-by-step explanation:

This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)

15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!

Answers

Answer:

The answer is 129

Step-by-step explanation:

5(exponent 4)/5 = 125 +4 equals 129

I think

Answer:

129

Step-by-step explanation:

5^4 / 5   + 4

We know that a^b / a^c = a^(b-c)

5^(4-1) +5

5^3 +4

125 +4

129

which table shows a proportional relationship between x and y?

Answers

I believe the answer is D, the numbers are factors and go in a equivalent pattern.

Angle Measurements 84 degree

Answers

Answer:

yes angle measures 84°as they are alternate angles

in a math final please help asap

find the angle r show ur work

Answers

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Please help, it's timed!

Answers

Step-by-step explanation:

Its C

Angle measurements 110 degree help find out the balance at the top

Answers

Answer: 70 degrees because 180-110= 70. Hope this helps

Step-by-step explanation:

how do you find x in this? I need help asap!!​

Answers

Answer:

Step-by-step explanation:

According to the theorem, the angle measuring 110 is one-half the measure of the arc it intercepts. That means that the major arc (this arc of which I'm speaking) measures 110 * 2 = 220.

Since the outside of a circle, regardless of how big or small the circle is, has a degree measure of 360, then x = 360 - 220 so

x = 140°


what is the probability of rolling a number that is greater than 4 on a number cube?
a.) 1/6
b.) 1/3
c.) 1/2
d.) 2/3

Answers

its is b! this is because there are 2 number that are greater than 4, so you do 2/6, which is 1/3. could i please have brainliest, i just need one more to level up!
Answer:  B) 1/3

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

Explanation:

E = event space = {5,6}

The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.

S = sample space = {1,2,3,4,5,6}

The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.

Divide the number of items in each set

n(E) = 2

n(S) = 6

probability = n(E)/n(S) = 2/6 = 1/3

There's a 1 in 3 chance of rolling a number greater than 4.

How many marble do you need to balance to scale

A. 4

B. 3

C. 2

D. 1

Answers

Answer: its B.

Step-by-step explanation:

have a good day hope this help

Answer:

B.3

Step-by-step explanation:

just divide 6 by 2

need help pls. will mark brainliest

Answers

C=6
move the constant to the right c-5=1 now calculate c=1+5

Solve using square roots no links plz.

Answers

Discriminant: 24
Solutions: x=−3± the square root of 6

helpppp meee pleaseeeeewee

Answers

We can't see what you are talking about. send another one.

The total surface area of a cube is 433.5 cm2.
Find its volume.

Answers

Answer:

Step-by-step explanation:

The area of 1 face is s^2

The area of 6 faces is 6s^2

6s^2 = 433.5                 Divide by 6

s^2 = 433.5 / 6

s^2 = 72.25                   Take the square root of both sides

sqrt(s^2) = sqrt(72.25)

s = 8.5

Normally you would find the volume of parallelepiped by using L * W * H

Since L W and H are all equal in a cube, the volume = s^3

S^3 = 8.5^3 = 614.125

Which value cannot represent the probability of an event occurring

Answers

Answer:

zero

Step-by-step explanation:

everything is theoretically possible

A-container holds 6 cups of yogurt the nutrion label reads that a serving size is 1/3 cups how many servings are in the cointaner

Answers

Answer:

1/3 = 1 serving

2/3 =2 servings

1 cup= 3 servings

so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings

If d(x) = x2 - 7x - 7, find d(x - 1).​

Answers

Answer: x^2-9x+1

Step-by-step explanation:

x^2-7x-7 d(x-1)

(you would just replace x to (x-1)

(x-1)^2-7(x-1)-7

(solve by square rooting (x-1)(x-1) then foil)

x^2-9x+1

$2000 at 9% for 1 year

Answers

Answer:

$180

Step-by-step explanation:

9% = 0.09

2000 * 0.09 = 180

draw and label a line a line segment a ray and an angle

Answers

Answer and Step-by-step explanation:

Everything is in the picture.

Lines are forever, so they have an arrow at each end.

Line segments have a dot at each end, so they don't go on forever.

A ray has a dot on one end and an arrow on the other, so one side goes on forever.

An angle can be acute, right, or obtuse.

#teamtrees #PAW (Plant And Water)

Mrs. Newcomer went to Giant for groceries. She paid $6 for 2 pounds of grapes.
How much would 7 pounds of grapes cost?

Answers

it would cost $21 because each pound is $3. So 7 pounds x $3 = $21 for 7 pounds
$21.00

Explanation:
1.) Find the unit rate of dollars per pound:
$6 divided by 2 = $3
Unit rate is $3 per pound of grapes

2.) Multiply the unit rate per pound by 7 pounds of grapes:
$3 x 7 = 21

So she will pay 21$ for 7 pounds of grapes.

Brajnliest would be nice!


Please help me out I really need theese answers

Answers

Answer:

b

Step-by-step explanation:

Gillian swears her computations for the
following equations prove they do not
intersect. Her brother who just finished
learning about intersecting lines told her they
definitely intersect because the slopes are
different. Gillian remembered that logic from
class and then decided she needed to be able
to prove intersection by using algebra.
Although there are multiple strategies, how
might she prove intersection without graphing
of the following equations?
4x +3y = 6 and 6x + 2y = 10

Answers

Step-by-step explanation:

Given

Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]

Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when

[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]

for the given lines

[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]

[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]

Hence, lines are intersecting

what is the range of the data below​

Answers

You need to provide a picture of the data or else nobody can solve it.

Answer:

u need to provide data where is data

Solve for x in the equation

Answers

Answer:

[tex] {x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17} [/tex]

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