A cone has the height 14 centimeters and base with the circumference or 8.4 pi centimeters. What is the volume of the cone in terms of pi.

19.6pi cubic cm
39.2pi cubic cm
82.32pi cubic cm
282.24pi cubic cm

Answers

Answer 1

The answer is C.

Here is the formula for volume of cone:

[tex]\frac{1}{3} \pi r^{2} h[/tex]

where r is the radius and h is the height.

[tex]\pi r^{2}[/tex] is the area of the "base" or the fomula for calculating the area of a circle.

In your question, the height is given, but you don't know the radius. However, it could be found using the circumference of 8.4pi cm.

The formula for the relationship between circumference, diameter, and the constant pi:

[tex]C =\pi d[/tex]

where C is the circumference and d is the diameter of the circle.

Substitute the numbers in:

[tex]8.4 \pi = \pi d[/tex]

Remove [tex]\pi[/tex] from both sides of the equation:

[tex]d=8.4[/tex]

Diameter is the length across the circle, while radius is half of diameter.

Hence, [tex]r =4.2[/tex]

Now that you have all the "information" you need to calculate the cone's volume, substitute the numbers into the formula:

[tex]\frac{1}{3} \pi * 4.2^{2}* 14[/tex]

You should get  [tex]82.32\pi cm^{2}[/tex]  as your answer. The [tex]\pi[/tex] is left alone because the question stated "in terms of pi", but if that weren't stated pi should be replaced with 22/7 or 3.14 depending on the question.

I hope this clears up any confusion you might have! If not, feel free to leave a comment with your question.


Related Questions

Help help help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Answer:

C

Step-by-step explanation:

The answer to this is A. This is because 48/12 would equal the amount of people. Hope this helps

I'LL GIVE BRAINLIEST

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Answer: it’s A

Step-by-step explanation:

Answer:A

Step-by-step explanation:

PLS HELP ASAP 30 POINTS

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Answer:

A. 1/5  B. 60 times

Step-by-step explanation:

Hope it helps!

what is the interception point of
y=-1/3x+1
and
y=2/3x+4

Answers

Answer:

(-3,2)

Step-by-step explanation:

For further questions or graphing questions I would recommend the website desmos graphing calculator it really helps !!

Answer:

(-3,2)

Step-by-step explanation:

I used desmos for this. Or you could just do the y=y method.

Look at the screenshot..

Answers

Answer:

Select

1

7

Step-by-step explanation:

What is 9 + (-16)?...............................

Answers

Answer:

-7

Step-by-step explanation:

Please do them all start with number 2 please epscify what problem is the answer MULTIPLE PAGES I LITTERLY. SWEAR DOOD NOBODY DOES THE OTHER PAGES-

Answers

Answer:

Q2: 2x+5=15

Q3: 35x+7=63

Q4: 2t+3=39

Q5: x/5-2=7

I haven't got a clue on how to do the last three but I hope these four help!

PLS HURRY

The equation 9t = 27.99 models a constant rate situation.



Drag and drop the value of 5t in the box. 5t=

Answers

Answer:

The value of 5t will be 15.55

Step-by-step explanation:

Given equation is;

9t = 27.99

As it is stated that the relationship is constant, therefore, we will find the value of t by dividing 27.99 by 9

Now, we will put t=3.11 to find 5t.

The value of 5t will be 15.55

the value is 15.55
if you need an explanation just ask

What is the elevation of a city 2,456 feet above sea level?

Answers

Answer:

+2,456

Step-by-step explanation:

Good Luck

2,456 is your answer

what is the answer to 11+22+33+44+55+66+77+88+99+101+111

Answers

Answer:

707

Step-by-step explanation:

cause im cool :D

I got the answer 707

the following 3 numbers are the side lengths of a right triangle: 5, 13, and 13. which number is the length of the hypotenuse?

Answers

the number 5 is the length of hypotenuse
Answer: 5
Reason: because it’s a right triangle so it would have to have the same Length and Width and there two 13’s so your answer would be 5.

M(7, –3) is the midpoint of segment PQ. The coordinates of point P are (6, –1). What are the coordinates of point Q?

Answers

Answer:

(8,-4)

Step-by-step explanation:

The answer would be (8,-4)

What is the rate of change for the linear relationship modeled in the table? (4 points)

x y
−1 10
1 9
3 8
5 7
a
negative one over two

b
0

c
one over two

d
2

Answers

Almost sure the answer is A

Answer:

The answer is A -1/2

Step-by-step explanation:

For the 6th annual school fundraiser, Daisy needs to sell 38 rolls of
wrapping paper. So far, she has sold 2.24 rolls to her grandmother, 5.75
rolls to her uncle, and .6 rolls to a neighbor. How many more rolls of
wrapping paper does Daisy need to sell? If each roll costs $3.46, how
much money can Daisy make?

Answers

Answer:

She needs to sell the rest of her 29.41 rolls of wrapping paper. If she sells all of her rolls of wrapping paper, she'll be able to get a total of $131.48.

Step-by-step explanation:

To get the answer to "How many more rolls of wrapping paper does Daisy need to sell?" you would have to add up how many she already sold which is

2.24 + 5.75 + 0.6 = 8.59

and then subtract 8.59 from the total of rolls she's supposed to sell.

38 - 8.59 = 29.41

To get $131.48

You multiply how much each roll costs to the total of rolls she's supposed to sell:

38 * 3.46 = 131.48

Hope this helped :)

PLEASE ANSWER ASAP FOR BRAINLIEST
Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answers

Answer:

Step-by-step explanation:

The one all the way on the left is 1. The one next to that is 1/3. The middle one is 3. The one to the right of the middle is 1. The one to the right is 1/3.

Population density is the number of people per unit of area. The population density of a certain region is 55 people per square kilometer. If the region covers 24 square​ kilometers, what is the population of the​ region?

Answers

Answer:

55x24= 1320

so the population of the region is 1320

The answer would be 1,320.
The unit rate would be y=55x or 55 people per square kilometer.
Here’s how to solve it:
You would take the unit rate and multiply it by the amount of square miles and the product will be your answer.

Pls help its not that hard, im in 7th grade

Answers

i believe its .25 as the correct answee
A. .25 I think that’s right if I did the math right

20% of the students in Mrs. Sosa’s class like veggie pizza. If there are 50 students in the class, how many students like veggie pizza?

Answers

Answer:

10 students like veggie pizza

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20% is equivalent to 0.2. If we do the math 50 x 0.2, we get 10.

Solving 50 x 0.2:

50 x 0.2 | Move the decimal right once to make a whole in 0.2, move the decimal left one (because we are doing multiplication) in 50.

5.0 x 02 | Remove any unnecessary 0s.

5 x 2 | Solve.

10 | Answer.

50 x 0.2 = 10

Hours Worked vs Salary hours worked-left salary-right
0 - 0
10 - $300
20 - $600
30 - $900
40 - $1200
Function?
If so, what is the domain?
what is the range?

Answers

Answer:

for every ten hours there is an extra 300 dollars.

pleaseeeeeeeeeeeeeeee mark brainlest

Step-by-step explanation:

The range is 1200-300 =900

=$900

Fred and Wilma have a booth at the county fair. Fred is selling bowling balls, and has made $129. Wilma is selling bowling shoes for $20 per pair. Write the expression that represents the total amount they would earn at the fair.

Answers

Answer:

129 + 20p

Step-by-step explanation:

Answer:

so you would add $129 to $20 then you add p to the $20 because it doesnt say how many pairs he sold so we need to add an exponent. But then you need to put all that into and equation whihc leads you to get the answer of

129+20p

PLEASE HELP PLEASE HELP PLEASEEEE

Answers

Answer:

27. C

28. D

Step-by-step explanation:

The average of all grades in his fencing class, including the upcoming one, (all grades summed up divided by the amount of grades) must be equal to 86 (percent), hence C is the right answer for 27.

Solving this equation gives:

[tex]\frac{75+88+62+100+x}{5} = 86\\325 + x = 86 \cdot 5\\x = 430 - 325 = 105[/tex]

So D is the right answer for 28.

27 is c And 28 is d.

can you help and explain how you got the answer please and thank you

Answers

Hmm I can’t remember this from the top of my head. I found this one video that helped me it tought the basic of how to find surface. good luck!

Can someone plz help me

Answers

Answer:

B

Step-by-step explanation:

80X2 because you have to know how much it will take to get from to home

B cause 80 x 2 hope you had a good day

Please help. And thank you

Answers

Answer:

I don't see anything is it showing up for you guys?

Length (l) = 4m
Width (w) = 3m
Height (h) = 5m

Formula :-
V = l x w x h
V = 4 x 3 x 5
V = 60m^3 (60 meters cubed)

Hope this helps you, thank you :) !!

Does anyone know the answer to this?

Answers

145 add them together

The diagonal of a TV is 42 inches. The base is 38 inches wide. How tall is the Tv? Round your answer to the nearest tenth. Put your answer in the box. EX: 10

Answers

Answer:20.6 inches

Step-by-step explanation:

The diagonal measure of a rectangular TV screen is 42 inches. The width of the screen is 36.6 inches.

The diagonal , width and height forms a right angle triangle

So we apply pythagorean theorem

Diagonal is the hypotenuse

LEt the height of the screen is 'h'

c^2= a^2 + b^2

42^2= 36.6^2 + h^2

Subtract 36.6^2 from both sides

h^2 = 424.44

Take square root on both sides

h=20.60194

Round to nearest tenth

Height of the screen = 20.6 inches

Answer:

1,600 inches

Step-by-step explanation:

You need to take the height of the tv and the base of the tv. So you need to take 42x38= 1,596. Now you need to round to the nearest tenth. So take 1,596 and the nearest tenth would be 1,600. Because 1,596 is closer to 1,596 then 1,590.

The equation x · y = z could be true or false.
If X is 3, Y is 4, and Z is 12 is the equation true or false?
Find new values of X, Y, and Z that make the equation true.
Find new values of X, Y, and Z that make the equation false

Answers

Answer: TRUE

Step-by-step explanation:

3 x 4 = 12.

SOOOOOOO APPAERENTLY... everyone on here is dead because i cant get any help with a question

Answers

Answer:

your answer is c i think

Step-by-step explanation:

5+5=10+4=14+6=20+0.5=

C.) 20.5 square inches

Answer:

20.5

Hoped I helped! :)

Harold wants to borrow $1,000 for 3 years. The interest rate is 6%. How much interest will he pay over the course of the loan?
A. $1,800
B. $1,180
C. $180
D. $60

Answers

The Answer is 180 because 6% of 100 is 60 so just multiply that by 3

Answer:

C

Step-by-step explanation:

Take cost of all 3 years being 3,000 then multiply it by the percent which I put into a decimal to make things easier. 3,000 x 0.06 = 180

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile. How much gas does it use to go 100 miles?

Answers

2.86 gallons

Step-by-step explanation:

If 1/35 gallon of gas = 1 mile

To travel 100 miles,

1/35 * 100

= 0.0286 * 100

= 2.86 gallons

Therefore, the car needs 2.86 gallons of gas to travel 100 miles

2.86 gallons is the answer
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