what is the radius of the cone?

What Is The Radius Of The Cone?

Answers

Answer 1

Answer:

r = 6 in

Step-by-step explanation:

[tex]V = \pi r^{2} \frac{h}{3}[/tex] = [tex]216\pi[/tex]

r²h/3 = 216

r² (18/3) = 6 r² = 216

r² = 216/6 = 36

r = 6


Related Questions

Suppose a charity received a donation of 15.2 million. If this represents 34% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer:

45 million

Step-by-step explanation:

Let [tex]x[/tex] be the total amount of its donated funds. We can set up the following equation:

[tex]0.34x=15.2\:[\text{million}][/tex]

Solving for [tex]x[/tex], we get:

[tex]x=\frac{15.2\:[\text{million}]}{0.34},\\x=44.7\:\text{million}\approx \boxed{45\:\text{million}}[/tex]

Answer:

45 million dollars (44.706...)

Step-by-step explanation:

15.2 ÷ 0.34 = 44.706

To check our answer:

44.706 × 0.34 = 15.2

Parallelogram CDEF is formed inside of rectangle AEBC to create triangle ADC and triangle EBF as shown in the model below.



How much greater is the area of parallelogram CDEF than the area of triangle EBF in square centimeters?

Answers

The areas of the parallelogram CDEF and triangle EBF can be calculated

from which the difference between the areas can be found.

Response:

The amount by which the area of parallelogram CDEF is greater than the area of triangle BF is C. 493.5 cm².

Which methods can be used to evaluate the areas of the regular shapes?

Area of the  parallelogram CDEF = CF × EB

Which gives;

Area of the  parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²

Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB

Which gives;

Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²

The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]

Which gives;

ΔA = 609 cm² - 115.5 cm² = 493.5 cm²

The area of parallelogram CDEF is 493.5 cm² greater than the area of triangle BF

The correct option is C. 493.5 cm²

Learn more about the area of regular shapes here:

https://brainly.com/question/10572314

How do you use slope to find the second point for a whole number slope?

Answers

Answer:

you use a linear equation.

Step-by-step explanation:

y=mx+b is a linear equation, b equals the y intercept (the point at which the slope touches the y line at x=0), and m equals the slope.

All you have to do is plug in your values for the equation to work.

What is the y-intercept of the line y=4x-3?

Answers

(0,-3) because that’s what it is

Playing with toy alphabet blocks, Dani mixes four of the ABCDE blocks into some combination (doesn't care about the order.) Then she takes the XYZ blocks and carefully puts these into a specific order. How many different outcomes are possible for this arrangement of seven blocks?

Answers

Answer:

The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Step-by-step explanation:

Given

Out of five blocks i.e ABCDE, four blocks need to be drawn.

Hence the possible ways of drawing four blocks out of total set of 5 blocks is

5C4

Now, the total number of ways of arranging these selected four blocks is 4!

The total number of ways of arranging three blocks is 3!

Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

A=120mins
B=20mins
C=40mins
D=80mins

Answers

Answer:

D. 80mins

Step-by-step explanation:

80 minutes cause u subtract so D

Triangle A is the pre-image, and triangle B is the image. Find the scale factor for this dilation if the center of dilation is at (0,0)

Answers

Answer:

The scale factor is 3

Step-by-step explanation:

6/2=3 (one of the triangles sides)

Danielle paid $5.57 for a fruit drink. She now has $27.53. How much money did she have before buying the fruit drink?

Answers

Answer:

$33.10

Step-by-step explanation:

Help please I really need it lol

Answers

Answer:

A=base x height

Step-by-step explanation:

Multiply base times height to get area. Hope this helps :)

the way to find the area from a rectangle is the same as a square which is
‘A=base x height’

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

p=18

Step-by-step explanation:

It is 18 because 5 times 18 will equal 90 and 90 +54 is 144

Answer:

it is b

Step-by-step explanation:

How do I solve this?

Answers

13x + 3x + 2x = 180°

=> 18x = 180°

=> x = 180°/18

=> x = 10°

Ec is a diameter solve for x well i really dont know

Which angles are alternate interior angles?

Answers

A is the correct answer

Answer:

∠JKH and ∠IHK

Step-by-step explanation:

∠JKH and ∠LHK are a linear pair

∠JKH and ∠IHK are supplementary

∠JKH and ∠IHK are same-side interior angles

Jordan can solve 12 math problems in 3 minutes. How long will it take him to solve 45 problems?

Answers

Answer:

11 1/4 minutes or 11 min, 15 sec

Step-by-step explanation:

12/3 = 45/t

cross-multiply:

12t = 135

t = 11 1/4

Answer:

you will get 11.25

Step-by-step explanation:

12, 3 minutes

1,3 divide by 12

45,0.25 multiply 45

The graph contains a system of equations. What two equations are represented in this system? Select all that apply.

A y=-x-6
B y=2x-3
C y=-1/2x -3
D y= x-3​

Answers

Answer:

what the. ok ok fine here Choose something close to (1.8,2.6)

Choice A

Step-by-step explanation:

Without the graph provided, I would prefer to do this algebraically.

y=2x-1

y=-1/4x+3

Since both are solved for y, I'm going to replace the first y with what the second y equals.

-1/4x+3=2x-1

I don't really like to deal with fractions quite yet so I'm going to multiply both sides by 4.

-1x+12=8x-4

I'm going to add 1x on both sides.

    12=9x-4

I'm going to add 4 on both sides.

    16=9x

I'm going to divide both sides by 9

   16/9=x

This is the same as saying x=16/9.

Now to find y, just choose one of the equations and replace x with 16/9.

y=2x-1

y=2(16/9)-1

y=32/9-1

y=32/9-9/9

y=(32-9)/9

y=23/9

So the exact solution is (16/9,23/9).

Round these numbers to the nearest tenths you get:

(1.8, 2.6) .

To get this I just typed into my calculator 16 divided by 9 and 23 divided by 9

16 divided by 9 gave me 1.777777777777777777777777777

23 divided by 9 gave me 2.5555555555555555555555555

So choose something close to (1.8, 2.6).

So your ordered pair (1.75,2.5) is pretty close to that so choice A.

B for the blue line because..
The slope is 2 and the y-intercept (where the line runs through the y axis) is -3

A for the red line because..
The slope is 1 and the line is going up in the left direction making it a negative slope. Then the y-intercept is -6.

Question 1.)
Calculate the probability that the couple conceived a girl and the test predicts a girl.
Question 2.)
Calculate the probability that the couple conceived a girl and the test predicts a boy.
Question 3.)
Calculate the probability that the couple conceived a boy and the test predicts a girl.
Question 4.)
Calculate the probability that the couple conceived a boy and the test predicts a boy.
Question 5.)
Calculate the probability that the couple conceived a girl before the test was taken. (Hint: add the probability you found for question 1 and 2, divide by the sum of all probabilities.)

Answers

Answer:

Answer 1: 0.05*0.85=0.0425

Answer 2: 0.05*0.15=0.0075

Answer 3: 0.95*0.15=0.1425

Answer 4: 0.95*0.85=0.8075

Answer 5: [tex]\frac{0.0425+0.0075}{0.0425+0.0075+0.1425+0.8075}=\frac{0.05}{1} =0.05=5%[/tex]

The probability that the couple conceived a girl and the test predicts a girl is 0.0425

What is Probability?

This refers to the branch of mathematics that has to do with the calculation of how probable an event is to occur.

Calculations and Parameters:

To find the probability that the couple conceived a girl and the test predicts a girl is 0.05*0.85= 0.0425

The other answers are:

0.05*0.15=0.00750.95*0.15=0.14250.95*0.85=0.80750.05/1= 0.05= 5

Read more about probability here:

https://brainly.com/question/24756209

There are 65 children in the sixth grade.
The ratio of boys to girls is 6 to 7.
How many girls are in the class?



FAST RESPONSE PLEASE!!!

Answers

Answer:

25 girls

Step-by-step explanation:


click on the picture to see my question please and thanks

Answers

it would be D………………………….,

Find the measures of the numbered angles in each rhombus

Answers

Answer:

angle 1 is 120

and I think angle 2 and 3 are 60

Why are these two figures simaliar

Answers

Answer:

Se parecen porque son proporcionales.

Step-by-step explanation:

Si le das vuelta a la figura pequeña de manera que quede en forma horizontal,  la figura es la misma, solo cambia el tamaño.

Both rectangular prism

Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:

Answers

Answer:

1. A wingsuit pilot is not in freefall.

2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.

Step-by-step explanation:

1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.

2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.

Which point has coordinates (-1 , 0) ?


Please help ASAP!! I will give 20 points for correct answer

Answers

Answer:

T

Step-by-step explanation:

Answer:

Your answer is T

Step-by-step explanation:

-1 pertains to the X axis, side to side. That means that if we want to move -1 we move to the left on the X axis.

There is no movement on the Y axis.

Rectangle ABCD is reflected over the x axis to form rectangle A^ prime B^ prime C^ prime I)^ prime ' What is the length of side

Answers

Answer:if it’s a and d then 2 units other side too is 2 units

Step-by-step explanation: commen sense

Find the value of x. (Type an integer or decimal.)

Answers

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

2) Poe Tayto wants to
know how long it will take an investment of $1,000
to earn $500 in interest if the yearly interest rate is 4.75%. Please answer fast and show work I will mark you as brain

Answers

Answer:

It will take 8.73 years.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,000

Future value (FV)= $1,500

Interest rate (i)= 4.75% compounded annually

To calculate the time required for the initial investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(1,500/1,000) / (1.0475)

n= 8.73

It will take 8.73 years.

Ben makes only tables and chairs at his wood-making shop.
• Ben is not able to make more than 500 pieces of furniture per month.
• Ben needs to make more chairs than tables.
Ben needs to make at least 25 tables and 100 chairs each month.
Let x represent the number of tables and y the number of chairs they make per month.
Please help

Answers

What is the maximum number of chairs and tables Ben can make in a month.

Answer:

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

x is number of tables and y is number of chairs per month.

Thus, inequality to represent this is;

x + y ≤ 500

Constraints are;

x ≥ 25

y ≥ 100

Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs

Thus, ratio of tables to chairs should always be 1:4

Thus,

Maximum number of tables per month = 1/5 × 500 = 100 tables

Maximum number of chairs per month = 4/5 × 500 = 400 chairs

The population of Springville was 3543 when Oliver was born.
If the population increases at a rate of 2.7% per year, which equation could be used to determine when the population will be 4125, where x
is the number of years after Oliver was born?
A-3543 = 4125(0.027)*
B. 3543 = 4125(1.027)
O C. 4125 = 3543(0.027)"
D. 4125 = 3543(1.027)*​

Answers

I’m pretty sure it’s C

What is the value of x?
O 14
15
ООО
16
110
110
17
700

Answers

Answer:

⏩14°

Step-by-step explanation:

As we can see the opposite sides are equal and the opposite angles are equal so it is a parallelogram. Hence

5x = 70° { opposite angles of a parallelogram are equal }

x = 14°

Hope it will help :)⏩❤

The value of x in the given figure is 14, Option A is correct.

We need to find the value of x in the given figure.

The opposite angles in the given figure are equal.

So when we equate both the angles we get an equation

5x=70

Divide both sides by 5

x=70/5

x=14

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

2.
HNUB
The water flow rate of a regular shower head is 3.5 gallons per minute. At
this rate, it would cost $1.90 for the water used for a 10-minute shower.
What is the cost, rounded to the nearest cent, of 1 gallon of water?

Answers

Answer: 5 cents

Step-by-step explanation:

Given

Flow rate of water is [tex]3.5\ gal/min[/tex]

At this rate it cots [tex]\$1.90[/tex] for 10 minutes

Volume that flown in this time

[tex]\Rightarrow V=3.5\times 10\\\Rightarrow V=35\ \text{Gallons}[/tex]

So, [tex]\$1.90[/tex] is charged for 35 gallons of water

Using unitary method, 1 gallon costs

[tex]\Rightarrow 1\ \text{gallon}=\dfrac{1.9}{35}\\\\\Rightarrow 1\ \text{gallon}=\$0.0542\ \text{or}\ 5.4\ \text{cents}\\\text{Round off to nearest cent}\\\Rightarrow 1\ \text{gallon}=5\ \text{cents}[/tex]

The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?

Answers

Answer:20.7 ft

Step-by-step explanation:

Find the perimeter of the figure.

Answers

Answer:

13 inches

Step-by-step explanation:

3 sides of the small square are on the outside, then add 5 and 3 and (3-1)* to get 13

* you subtract 1 from 3 because you counted the 1 unit when calculating the perimeter of the small square

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