volume of a cone = r²h,
where r is the radius and h is the height.
A frustum is formed by removing a small cone from a similar, larger cone, as
shown below.
a) Calculate the radius of the original large cone.
b) Calculate the volume of the frustum to the nearest integer.
50 m height
10 m height of frustum
6m radius of frustum

Answers

Answer 1

Answer:

7.5 m           457.5[tex]\pi[/tex] [tex]m^{2}[/tex]

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = [tex]\frac{1}{3} \pi r^{2}h[/tex].

Original Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] = [tex]\frac{1}{3} \pi *7.5^{2}*50[/tex] = 937.5[tex]\pi[/tex]

Smaller Cone = [tex]\frac{1}{3} \pi r^{2}h[/tex] =  [tex]\frac{1}{3} \pi *6^{2}*40[/tex] = 480[tex]\pi[/tex]

Frustum = 937.5[tex]\pi[/tex] - 480[tex]\pi[/tex] = 457.5[tex]\pi[/tex]


Related Questions

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option C it is sure

,

A

trust me looooooooooll

Bella went to Yard Depot multiple times. Each time she was there, Bella bought a gardening hat and y pairs of gardening gloves. The expression shown below represents the total amount of money, in dollars, Bella spent at Yard Depot. a(by + c) C. Explain what a, b, and c each mean in terms of the situation.

Answers

Answer:

a is how many times bella went 2 yard depot

b is how many gardening gloves she bought

c is how many gardening hats she bought

Mark has $500 in his savings account. If he saves $25 each month, how many months will it take him to have $1000.

Answers

Answer: 20, I believe

Step-by-step explanation: You already have 500 which is half of 1000. 500 divided by 25 equals 20.

PLEASE HELP!!! (i will give brainliest)

Answers

Step-by-step explanation:

[tex] {9}^{2} = {6}^{2} + {x}^{2} \\ 81 = 36 + {x}^{2} \\ {x}^{2} = 45 \\ x = 6.71 \: ft[/tex]

6.71 is answer ok plz MARK me as BRAINLIST

2 It is 7:40 A.M. Delilah's bus arrives
at 7:53 A.M. It takes her 10 minutes
to get to the bus stop. Will she
catch her bus?
yourloos nosos 3 sovios
to
no 18119
What time will she get to the bus
stop?
9
SRB

Answers

Answer:

no she will be 3 min late

Step-by-step explanation:

When the stress on a rock in the mantle is greater than the rock is strong ________.
the rock breaks and energy is released in the form of s-waves and p-waves
a volcano erupts
a tsunami builds under the ocean
sedimentary rock is formed

Answers

Answer:

sedimentary rock is formed

Step-by-step explanation:

Sedimentary rock is formed

Find the missing side length

Answers

Answer:

b

Step-by-step explanation:

2.
Write a rule for the linear function in the table.



x f(x)

–1 –5

2 –2

5 1

8 4


A. f(x) = x – 4


B. f(x) = 3x


C. f(x) = x + 4


D. f(x) = x – 5

Answers

Answer:

C. f(x) = x + 4

Step-by-step explanation:

10x - 4y for x = 14 and y = 5 PLEASE!

Answers

Answer:

120

Step-by-step explanation:

10(14)-4(5)

=140-20

=120

Answer:

120.

Step-by-step explanation:

10(14)-4(5)

140-20

120.

why do countries, make alliances, in wartime? please someone help me!

Answers

Answer:

Most of the time, it is because they need the military aid or the resources that a certain country needs. That's kinda what the UN is all about is aiding each other in times of war

Step-by-step explanation:

Answer:

Because when make allies, they have someone to have their back.

Step-by-step explanation:

For example, If you're in a fight, you're gonna need backup. In war, you need as many people as you can to take down the villain (your opponent). Which means people, ammo, guns, bombs, support, and inside spies. All of this helps and will be easier to defeat the person per-say.

Hey please help me!
Whats 12y + 2x = 24 ???

Answers

Answer:

y=2 x=0

Step-by-step explanation:

12x+2x=24

12 times 2+ 2 times 0

=24

Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees.

Answers

Answer:

[tex]x = 50[/tex]

Step-by-step explanation:

[tex]52 + 78 + x = 180[/tex]

[tex]130 + x = 180[/tex]

[tex]x = 180 - 130[/tex]

[tex]x = 50[/tex]

Richard and Teo have a combined age of 49. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?

Answers

Answer:

13×2=26

Maybe i can help u a little

Answer:

teo is 18 and Richard is 31

Step-by-step explanation:

hope it helps you

please mark me as brainlist

Verdadero o falso a) al reducir a comun denominador las fracciones se sustituyen por otras equivalentes

Answers

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

Will mark BRAINLIEST!!
What is - 1 1/15 + (- 3/5) =

Answers

the answer is -20/15 or -1 1/3


Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?

Answers

Answer:

Giant

Step-by-step explanation:

Giant: .30c a can

Safeway: .33c a can

Write an equation for the following line.
10
-10
10
-101

Answers

Y= 4

How to:
Using the y axis it hits the line at 4

Is 1,48 rational or irrational


Answers

Answer:This number is classified as rational

Step-by-step explanation: Have a great day!

will give brainliest at the right answer ​

Answers

Answer:

1.) 40.0 2.) 75.00 3.) 140.00 4.) 200.00 5.) 500.00 6.) 1300.00 7.) 70.0000

8.) 10.00 9.) 245.00 10.) 900.00

Kobe wants to organize his toys. He wants to put his į inch cubes in a box with width 2 inches, length 3 inches, and height 2 inches? How many inch cubes can he fit in the box?​

Answers

Volume of box : 2 x 3 x 2 = 12 cubic inches.

Volume of cube : 1^3 = 1 cubic inch.

Number of cubes = volume of box / volume of cube:

12/1 = 12 cubes.

Answer:

12 cubes

Step-by-step explanation:

hope this helped

Which story shows 1/3 divided by 5?

Answers

I don’t know what you mean by “story” but 1/3 divided by 5 is 0.06

what is the range for a x intercept of (5,0) and a y intercept of (0,3)

Answers

Answer:

(5,0)=x1,y1

(0,3)=x2,y2

so the range will be x1-x2/

Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) - 2x+8 - 4 by substituting x = 1 and x = 2.
ОА.
6x +11
OB. 3(x + 7)
OC. 2(3x + 16)
OD.
3x + 16
Reset
Next

Answers

Answer:

c

Step-by-step explanation:

The expression equivalent to this expression is 2(3x+16)

Data;

x = 1x = 2

Equivalent Expression

The given expression is 4(x+x+7) -2x + 8 -4

Let's simplify this

[tex]4(x+x+7) -2x +8 - 4\\4(2x+7) -2x +4 = 8x + 28 - 2x + 4 = 6x + 32[/tex]

This can be simplified as

[tex]6x+ 32 = 2(3x + 16)[/tex]

The expression equivalent to this expression is 2(3x+16)

Learn more on equivalent expression here;

https://brainly.com/question/405965

First use the digits in the box to create the largest possible number. Then use the same digits to create the smallest possible number. Then find the difference between the two numbers.

Answers

Answer:

What are the digits in the box?

Step-by-step explanation:

Pleasee help wit this

Answers

Answer:

Step-by-step explanation:

f(-9)=2(-9)²+5(-9)+20

      = 162-45+20

      = 137

Answer:

137

Step-by-step explanation:

f(-9) = 2(-9)^2 + 5(-9) + 20

= 162 - 45 + 20

= 137

If a circle has an area of 49 squared, what is its exact radius?

Answers

r≈3.95
Area 49
Ok
Did
You
Under
Stand
It
???

Answer:

27.7

Step-by-step explanation:

Area = πr²

49²/π = r²

r = 49/√π = 49/1.77 = 27.7

1) -5n – 4n ?????????????????????????????????????????

Answers

Answer: =−9n

Step-by-step explanation: hope this help

-5n-4n

=-5n-4n

=-5n+-4n

=-n+-n+-n+-n+-n+-n+-n+-n+-n

=-9n

A bank account with an initial deposit of $4,000 and an interest rate of 4% increases by 4% each year. The balance (B) as a function of time in years (t) can be described by an exponential function: B(t) = 4,000(1.04)t

What parameter would change if the interest rate were changed to 7%?

Parameter
(select)
would change if the interest rate were changed to 7%.

Answers

r=R/100=4/100=0.04 per year. Solving equation A=P(1+rt ). A=4000(1+0.04)=4160. A=$4160

what is the value of x in the triangle??

Answers

Answer:

x=40°

Step-by-step explanation:

Every triangles area equals 180

75+65=140

180-140=40

Answer:

40

Step-by-step explanation:

All angles in a triangle add up to 180°.

65° + 75° + x° = 180

140° + x° = 180°

-140          -140

x° = 40°

Witch of the following equations have z=4
9z+22=26
7z-1=27
46-8z=14
5z+40=62

Answers

Answer:

b

Step-by-step explanation:

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