If the surface area of the cone shown below is 628.32m2, find its volume.

If The Surface Area Of The Cone Shown Below Is 628.32m2, Find Its Volume.

Answers

Answer 1

Answer:

Solution given:

diameter [d]=16m

radius [r]=8m

let slant height =l

surface area =628.32m²

πr(r+l)=628.32m²

π×8(8+l)=628.32

8+l=628.32/(8π)

8+l=25

l=25-8

l=17m

now

height of cone [h]=√{17²-8²}=15m

Again

Volume of cone =⅓πr²h=⅓×π×8²×15=320π 0r 1005.31m³

The required volume is 320π 0r 1005.31m³

Answer 2

The Volume of the given Cone is: 1005.469 cubic. cm.

V=1005.469 cubic. cm.

What is Volume of cone?

The volume of a 3 -dimensional solid is the amount of space it occupies.

The volume V of a cone with radius r is one-third the area of the base B times the height h .

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

Surface area of cone= 628.32

[tex]\pi r(l+r)[/tex]= 628.32

3.14 x 8 (l + 8)= 628.32

l+8= 25.01

l= 17.01 cm

height= 15.01 cm

Now volume of cone,

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

  = [tex]\frac{1}{3} *3.14 *8^{2}* 15.01[/tex]

  =1005.469 cubic. cm.

volume of cone, V= 1005.469 cubic. cm.

Learn more about volume of cone here:

https://brainly.com/question/1984638

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Related Questions

i dont know why my question was deleted, so here it is again pls help me

Answers

Answer: 25 cubic ft

Step-by-step explanation:

v = l x w x h

v = 5 x 1 x 5

v = 25

Answer:

25cm

Step-by-step explanation:

an easy way I do it is I count the side which is 5 then i count the bottom which is 5 also and I multiply the two numbers to get the volume

please help me with this :)

Answers

Answer:

153.938 units². On Microsoft Edge they have a calculator specfically for surface area, volume, area, and more. Check it out.

Step-by-step explanation:

Answer:

i would believe it is 49 units2

Step-by-step explanation:

Solve plz
500 - 2.23

Answers

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

500-2.23500-2.23497.77

hope it helps

stay safe healthy and happy.

Solve for X and Find AC

Answers

X=3
AC=14
Method below

If c | | d, which statement must be true?

A. <1 ≈ <16
B. <7 ≈ <10
C. M<14 + M<15 = 180°
D. M<6 + M<10 = 180°

Answers

Answer:

c is the answer becoz Evey angle make 180 degree and as 6 is used

Solve the equation 5x^2 - 2x - 9 = 0 using the quadratic formula. WILL MARK BRAINLIEST.

Answers

Answer:

[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]

Step-by-step explanation:

5x^2 - 2x - 9 = 0

a = 5; b = -2; c = -9

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4(5)(-9)}}{2(5)} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{4 + 180}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{184}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{4 \times 46}}{10} [/tex]

[tex] x = \dfrac{2 \pm 2\sqrt{46}}{10} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{46}}{5} [/tex]

[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]

Find the missing angle in this triangle

Answers

Answer: The 2nd one

Step-by-step explanation:

For the following system is the 2nd equation to make substitution for y in the first equation 2x+y=6 y=3x+4

Answers

Answer:

x= -20/3 y= -8/3

Step-by-step explanation:

x= -20/3 y= -8/3

Find a12 in the sequence -1, -3, -9, -27, ..

Answers

Answer:

-177147

Step-by-step explanation:

Geometric Sequence

What model represents the expression

Answers

Answer:

A

Step-by-step explanation:

short cut, it has 5 dashes/ point markings

Help me plz this stuff is hard

Answers

Answer:

[tex]x = 25.9[/tex]

Step-by-step explanation:

Apply law of sines.

[tex] \frac{23}{ \sin(22) } = \frac{x}{ \sin(25) } [/tex]

[tex] \frac{23}{ \sin(22) } \times \sin(25) = x[/tex]

[tex]x = 25.9[/tex]

Answer:

25.9

Step-by-step explanation:

By sine rule:

[tex] \frac{BC}{ \sin 25 \degree} = \frac{23}{ \sin 22 \degree} \\ \\ BC = \frac{23 \sin 25 \degree}{ \sin 22 \degree} \\ \\ BC = \frac{9.72022002}{ \sin 22 \degree} \\ \\BC = 25.947808156 \\ \\ BC \approx \: 25.9[/tex]

6.
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softbal's acceleration is - 16
Ft/s2. This can be modeled with the equation (h=height, t=time) h(t)=16t^2 +50t+ 3
What is the time at which the softball would hit the ground it it were not hit or caught?

A.) .5 seconds
B.)3.12 seconds
c.) 3.18 seconds
D. ) 2.42

Answers

Answer:

Using their equation and the fact that the ball will fall 3 ft before reaching the ground:

3 = 16 t^2 + 50 t + 3  represents the given situation

16 t^2 + 50 t = t (16 t + 50) = 0

16 t + 50 = 0

t = 50 / 16 = 3.12 sec

Choose the best answer
Question
On 5 trips to the grocery store, James spent $42,$51,$33,$28, and $31. What was the average amount
James spent per trip?

Answers

Answer:$37

Step-by-step explanation:42+51+33+28+31=185/5=37

Answer:

$37

Step-by-step explanation:

Average =  

Sum/Count

= 185/5

= 37

Solve for X. (x+7)^2−11=0

Answers

Answer:

The

Step-by-step explanation:

x

=

11

7

,

11

7

Decimal Form:

x

=

3.68337520

,

10.31662479

3)x^11/3
Ficksnckxkdlvidjv

The base and height of triangle MNP are 3 times as long as the base and height of triangle JKL.
The area of triangle MNP is how many times the area of triangle JKL?

A. 3/2
B. 3
C. 6
D. 9

Answers

Answer is b hope this helps

Answer: B

Step-by-step explanation:

im so sad i literally cried for 10 min straight because i have three 70's on my grade progress report and my mom only wants 80's and she said if i dont get all 80's i will get punished bad:( and i promised i tried but i know shes not going to belive me:( btw she is (japanese)and (japansese parents are strict):(

Answers

Answer:

You shouldn't blame your mom. You are more than capable of getting 80's that is the bare minimum. Your mom does not want you to fail, try harder and get better grades. 70's are not the best


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

Given the center and radius of a circle, write the equation of the circle.

Center: (-2, 1)

Radius = 5

Answers

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Pre-Calc

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

I WILL GIVE BRAINLIEST!!!!!!! A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes). 1.235 952 457 1,486 1,486 | 1,759 1,148 548 1,0371,864 | 1,245 866 1,431 a. Estimate the median time it will take all players to finish this game. minutes b. Find the interquartile range for this sample minutes​

Answers

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

If the function f ( x ) = x 3 is transformed to f ( x ) = ( 2 x ) 3 , what will the effect be on the function’s graph?

Answers

Answer:

Step-by-step explanation:

Fatima is 1.27 metres tall.
Charlotte is 0.89 metres tall

Answers

You’re missing the rest of the question

Which number is farthest from 0

Answers

Answer:

17

Step-by-step explanation:

it 17 trust me

Answer:

17

Step-by-step explanation:

Write the numbers least to greatest.

-15, 0, 9, 10, 17

Then, highlight the one on the very right.

-15, 0, 9, 10, 17

Have a wonderful day! :)

All rhombuses have 4 right angles

Answers

Answer:

no they do not :) :) :)

Can someone help me with this? Right answer gets brainliest!! :)

Answers

Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

56 is the correct answer

What is the area of a base of 12 feet and a height of 14 feet of a triangle

Answers

Answer:

A=84ft²

Step-by-step explanation:

A=hbb

2=14·12

2=84ft²

Does this help?

Answer:

[tex]84 feet^2[/tex]

Step-by-step explanation:

Area of triangle: [tex]\frac{1}{2}[/tex]×(Base of triangle)×(Height of triangle)

13×12 = 168

168÷2 = 84

Answer: [tex]84 feet^2[/tex]

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not too sure about it

Answers

Answer:

I'm pretty sure it's a right angle.

Step-by-step explanation:

Answer

47

triangles add up to 180

180-43-90=47

I need help with school

Answers

Answer:

x = 14

Step-by-step explanation:

Set both equations to equal 180

(6x-10)+(7x+8)=180

13x-2 = 180

13x=182

x=182/13

x=14

which fraction on the number line is equal to 3 can someone help me with this please

Answers

Answer: 9/3

Step-by-step explanation:

Answer:

12/4 is equal to 3

I looked for numbers that were multiples of 4 and divided all of them to see which one was equal to 3.

12 divided by 4 = 3

Step-by-step explanation:

3. A company is designing a juice box. The box is in the shape of a
rectangular prism. The base of the box is 6 inches by 2 inches and
the box is 4 inches high tice fills 90% of the box volume find the
volume of juice in the box

Answers

Answer:

48in^2 or just 48 dont forget to include the inches and squared

Step-by-step explanation:

NO LINKS....................What is 60% of 80

Answers

Answer:

48

Step-by-step explanation:

80 x 0.6 = 48

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