The height $h$ and the base area $B$ of a cone are given. Find the volume of the cone. Write your answer in terms of $\pi$ .

$h=6$ units

$B=4\pi$ square units

The volume is__ cubic units.

Answers

Answer 1

Answer:

(i) 84 cm.

(ii) 5635π cm^2

Step-by-step explanation:

(i)

The volume of the cone = 1/3 π r^2 h

= 1/3 π 35^2 h.

The volume of the hemisphere = 2/3 π 35^3.

As the volume of the cone is 1 1/5 ( = 6/5) times the volume of the hemisphere:

1/3 π 35^2 h = 2/3 π 35^3 * 6/5

h = 2/3 π 35^3 * 6/5 / 1/3 π 35^2

h = 84 cm (answer).

(ii) Surface area of the hemisphere = 2 π * 35^2 = 2450π cm^2.

Surface area of the cone = π r l where l = slant height.

l = √(35^2 + 84^2) = 91 cm.

So the surface area of the cone = 35*91 π = 3185π.

So the total surface area of the solid is 3185π + 2450π

= 5635π cm^2.

i hope this work for you

Answer 2

The height and the base area of the cone are 6 units and 4π square units. Then the volume of the cone is 24π.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The height (h = 6) and the base area (b = 4π) of a cone is given.

Then the volume of the cone will be

Volume = b × h

Volume = 4π × 6

Volume = 24π

More about the geometry link is given below.

https://brainly.com/question/7558603


Related Questions

PLEASE DONT PUT ANYTHING IF U DONT KNOW IF U DO WELL PUT IT cuz it makes it look like if was answer PLS HELP ME OUT 6th grade math

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:
Please tell us the question



Explanation

helpppppppppppppp!!!!!!!!!!

Answers

I think the answer is B

Is Frieda’s work correct? Explain how she can check her solution.
z + 22 = 64
z + 22 – 22 = 64 – 22
z = 42

Answers

Answer:

Frieda should substitute 42 for z in the original equation, and simplify to see if it is a true statement. 42 + 22 = 64, so her solution is correct

Step-by-step explanation:

Exact Answer below in the photo

PLS HELP I REALLY NEED HELP THIS IS MY LAST QUESTION I WILL GIVE BRAINLIEST THE PERSON WHO HAS THE CORRECT ANSWER PLS DON"T PUT STUPID ANSWERS!!!!
find an equation of the line that has a y intercept of 5 and is perpendicular to the graph of the line 4x+3y=8.

Answers

Answer:

3x-x+2=4

Step-by-step explanation:

You replace y in the problem with 5 so you have 4x+3*5=8 then you multiply 3*5 and 15 then rewrite your problem so it looks like 4x+15=8 then add 15 to the side with the 8 so it looks like 4x=23 then divide 23 by 4 and you get x.

Answer:

y = 3/4x + 5

-3x + 4y = 20

Step-by-step explanation:

In order to write this equation, you need the slope and y-intercept (I'll answer in slope-intercept form and standard form)

First change that standard form equation to slope-intercept form:

1. 4x + 3y = 8

2. 3y = -4x + 8

3. y = -4/3x + 8/3

Step 1 is given.

In step 2, 4x was subtracted from both sides.

In step 3, both sides were divided by 3.

Slope-intercept form:

y = mx + b

m is the slope and b is the y-intercept.

m = 3/4; the slope of a line perpendicular to another line is the negative reciprocal of the other line's slope (ex: line's slope is 1/4; a line perpendicular to it has a slope of -4, the negative reciprocal)

b = 5; the y-intercept was stated in the problem

Now, you put it together: y = 3/4x + 5

Standard form:

You can just change the slope intercept form back into standard form by moving the numbers around a bit:

1. y = 3/4x + 5

2. -3/4x + y = 5

3. -3x + 4y = 20

Step 1 is given.

In step 2, 3/4x was subtracted from both sides of the equation.

In step 3, both sides were multiplied by 4 so that the equation could have nice whole numbers. (this step is optional, I just think it's easier to read this way)

PLEASE HELP ME!!!! I REALLY DON'T UNDERSTAND THIS!!

Answers

Answer:

22.5

21

18.75

Step-by-step explanation:

days/money earnt

Divide the money earned by the number of games. 90 divided by 4 is 22.5 105 divided by 5 is 21 and 150 divided by 8 is 18.75

a. a 10 8 6 14 2 -10-8-6 -4 6 810 4 6 18 10 Is this a function? Yes No How do you know?​

Answers

its a function if there are different numbers as each x value but if there are multiple of the same number in the x value it isn't a function

Which of the following equations is equivalent to 5(2p – 6) = 40?
10p – 6 = 40
10p – 30 = 40
7p – 11 = 40
7p – 1 = 40

Answers

Answer:

10p - 30 = 40

Step-by-step explanation:

Apply distributive property of multiplication.

10p- 30=40 :) I learned it in my maths so yuh

PLEASEE HELP ME!!
I REALLY NEED HELP ON IT!!

Answers

Answer:

1. A=18

2. A= 48

Step-by-step explanation:

1. Area = 1/2 x base x height

The base is 9 and the height is 4

1/2 x 9 x 4= 18

2. Area = L x W

The length is 12 the width is 4

12 x 4 = 48

What is the sum of 16.87 + (–98.35)?

Answers

-81.48 I hope it helps!! Have a good day ☺️

If you are given two unknown samples of gray metals, how can you use physical properties to determine if they are the same?

Answers

if there is a difference in feeling

HELP PLS APASAPA I WILL GIVE BRAIN

Answers

Answer:

you answer will be a binary number

Rafael finished his math assignment in 5/8 hours. Then he completed his chemistry assignment in 1/3 hours. What was the total amount of time Rafael spent doing these two assignments? Write your answer as a fraction in simplest form.
yall help-

Answers

Answer:

23/24

Step-by-step explanation:

5/8       1/3

15/24   8/24

       23/24

       

Answer:

23/24

Step-by-step explanation:

5/8       1/3

15/24   8/24

      23/24

Could you please help me!!

Answers

Answer:

C:) 21.47 cm²

Step-by-step explanation:

A=wl=2.1 x 10.7=22.47

C!! 22.47 hope this helps

help ASAP its due today and ty

Answers

Answer:

1400

Step-by-step explanation:

1400 i believe but i’m not totally sure.

I need help, ASAP! I am stupid. May you help me please? Thank you!!

Answers

I’m pretty sure it’s A
I think d but I’m stupid aswell lol

Jenny takes the temperature of a cold glass of water every minute for her science project, and she will graph her results. If the pattern of temperature change continues, what will the temperature of the water be after 9 minutes?


Minutes Temp. (degrees) (x, y)

1 34 (1, 34)

2 35 (2, 35)

3 36 (3, 36)

4 37 (4, 37)



38°

41°

42°

43°

Answers

Answer:

your answer is 9,42

Step-by-step explanation:

This is because if you follow the pattern:

5,38

6,39

7,40

8,41

9,42

so (9,42) is your answer

A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each week, the scientist measures the length of the vine.


A 3-column table with 5 rows. Column 1 is labeled Weeks with entries 1, 2, 3, 4, 5. Column 2 is labeled Total length (inches) with entries 4, 8, 12, blank, blank. Column 3 is labeled Total length (feet) with entries blank, blank, 1, blank, blank.


If the vine continues to grow at this rate, it will be

inches long at the end of 5 weeks. and the answera is 20

Answers

Answer:

16, then 20 inches

Step-by-step explanation:

16,then 20 inches sorry if incorrect

im feeling a little stuck. could someone help me please?

Answers

Answer:

it is the same on the other side

Step-by-step explanation:

1 step out the g where the other g is on the line it is on but other side

2 put x on same line with y but other side

two questions, two attatchments (show your work)

Answers

ANSWER: 12.56 inches

d=2r
12=2r
r=6

6-4=2

A=3.14r^2
A=3.14*2^2
A=3.14*4
A=12.56

Which option shows this fraction as repeated addition? (2 points)

five fifths shown as a fraction strip

a one fifth plus one fifth plus one fifth shown as fraction strips
b one fifth plus one fifth plus one fifth plus one fifth shown as fraction strips
c one eighth plus one eighth shown as fraction strips
d one eighth plus one eighth plus one eighth plus one eighth plus one eighth shown as fraction strips

Answers

Answer: A.

Step-by-step explanation:

1/5+1/5+1/5

What is the distance between (-8, 5) and (6, 5)?
Enter your answer in the box.

___ Units

Answers

Answer:

distance: 14

explanation:

[tex]\sf \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

given:

(-8, 5) and (6, 5)

solve:

[tex]\sf \rightarrow \sqrt{(5-5)^2+(6--8)^2}[/tex]

[tex]\sf \rightarrow \sqrt{(0)^2+(14)^2}[/tex]

[tex]\sf \rightarrow \sqrt{14^2}[/tex]

[tex]\sf \rightarrow 14[/tex]

Solution:

We know that:

[tex]\text{Distance }=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}[/tex]

Finding the coordinates

(x₁,y₁) = (-8,5) = x₁ = -8; y₁ = 5(x₂,y₂) = (6,5) = x₂ = 6; y₂ = 5

Substitute the coordinates into the distance formula.

[tex]\text{Distance }=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[(6- (-8)]^{2} +[5-5]^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[(6 + 8]^{2} +[0]^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[14]^{2}[/tex]

[tex]\rightarrow \boxed{\text{Distance }=14 \ \text{units}}[/tex]

(1.) 3x< 90 (2) x > 9 (3) -6x>18
---- ----
4
show graph
solving inequalitilites with multiplication and division

Answers

Answer:

The attached images

Step-by-step explanation:

Im smart  

Answer:

Step-by-step explanation:

THIS IS MY LAST CHANCE HELP!! 100 POINTS!!!

Answers

Answer:

Team 1 -- 7

Team 2 -- 6

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!


Answer:
Team 1 --7
Team 2-- 6


Step-by-step explanation:
The range is the difference between the
highest and lowest values in a set of
numbers. To find it, subtract the lowest
number in the distribution from the
highest.
Hope this helps! Please let me know if you
need more help. GOOD LUCK

X=


Pls help me quick..........
10pts

Answers

Answer:

x=3

Step-by-step explanation:

..

I think it x=3 but check to make sure

help me with this problem. The topic is fraction number lines 4.
And the other question is please note that to aid understanding the fraction have not been simplified on this sheet.

Answers

Answer:

i dont know

Step-by-step explanation:

PLEASE HELP ME !!!!!!

Answers

Step-by-step explanation:

In this question as two straight lines intersect each other

we use vertically opposite angle axiom

so 74 degree = 2x.

then x= 74/2= 37degree

Answer:

Angle 74 degrees and 2x are vertical, so they would have to equal each other.

Note: Vertical angles are congruent meaning they measure the same degrees

So we set up the equation;

74 = 2x

/2     /2

37° = x

What is the result when 2a-5 is subtracted from 3a+3

Answers

Answer:

-a - 8

Step-by-step explanation:

2a - 5 - (3a + 3)

2a - 5 - 3a - 3

-a - 8

I hope this helps!

Answer: Answer: a-2. Step-by-step explanation: 3a+3-2a-5. like terms must be together hence. 3a-2a=a. 3-5=-2. ans ;a-2.

Step-by-step explanation:

Name Five countries through which the Equator passes

Answers

Answer:

Ecuador, Colombia, Brazil, Sao Tome & Principe,

Step-by-step explanation:

Answer:

Ecuador, Colombia, Brazil, Sao Tome & Principe

Step-by-step explanation:

Solve for the indicated variable.

[tex]\frac{g}{h} = e - 10[/tex] for g

Answers

Answer:

g = h(e-10)

Step-by-step explanation:

You can multiply the whole equation by h to get g by itself.

g = h*(e-10)
this is solution for g, you just have to multiply h and you will get that

Which data set does this stem-and-leaf plot represent? Stem | Leaf

------------------

1 | 55889

2 | 0

3 | 0339

4 | 15


A. 30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18


B. 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18


C. 15, 19, 19, 20, 30, 33, 39, 41, 45


D. 5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5

Answers

Answer:

D

Step-by-step explanation:

You have to find a pattern that correlates to one of the options to get the key of the stem and leaf diagram. The pattern is the stem is multiplied by the leaf.

In the first one:

1*5=5

1*5=5

1*8=8

1*8=8

1*9=9

And so on

The answer to your problem is d
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