A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi

A Cone With A Radius Of 3 Feet And A Height Of 5 Feet Is Placed On Top Of A Cylinder As Shown. Find The

Answers

Answer 1

Answer:

Step-by-step explanation:

v=1/3πrh

v=1/3×π×3×5=5π

Answer 2

The volume of the combined solid is given as 69π ft³.

What is a right circular cylinder?

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The volume of the combined solid is given as,

Volume of cone + Volume of cylinder

The expression can be written as,

1/3πr²h + πr²H

Where h and H are the heights of cone and cylinder respectively.

Plug r = 3, h = 5 and H = 6 to obtain as,

⇒ 1/3π × 3² × 5 + π × 3² × 6

⇒ 69π

Hence, the volume of the combined solid is obtained as 69π ft³.

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Related Questions

Mr. Morgan's ice cream shop made $1,380 last weekend selling $2 scoops of ice cream. If he sells 100 more scoops this weekend, about how many scoops will he sell?

Answers

Answer:

1580$

Step-by-step explanation:

: Một khu đất 20 ha người ta trồng hai loại cây ngô và khoai. Năng suất của ngô tính theo x ha được (5-x/4) tấn trên 1 ha và năng suất của khoai tính theo y ha được (7-y/4) tấn trên 1 ha. Xác định diện tích trồng từng loại cây để sản lượng thu được là lớn nhất.

Answers

Jsksjnsnsjdishdhjskjjkokksns

Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 10 meters per second and the second car's velocity is 6 meters per second. At a certain instant, the first car is 4 meters from the intersection and the second car is 3 meters from the intersection. What is the rate of change of the distance between the cars at that instant (in meters per second)?

Answers

Answer:

use: E = P x t

Step-by-step explanation:

E = energy = J

P = power = W

t = time = s

A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?

Answers

65 x .20 = $13 $13 is the markup and if added to the initial amount it would be $78 altogether
The answer is 13$ to that

Hello, is there anyone here a pharmacy technician?

Answers

No i am not i hope that you find who you are looking for.

30/5.472 i need to use dividing decimals

Answers

Answer:

18.240

Step-by-step explanation:

Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

54.72 ÷ 3 = 18.240

and therefore:

5.472 ÷ 0.3 = 18.240

Both calculated to 3 decimal places.

 1 8. 2 4 0

3 5 4. 7 2 0

− 3        

 2 4      

− 2 4      

   0 7    

 −   6    

     1 2  

   − 1 2  

       0 0

     −   0

         0

help me due today might need more help in a minute but yk help me which one is it A B C D or E

Answers

Answer:

Option B is correct.

Step-by-step explanation:

c - 2.5 = 0

=> c = 0 + 2.5

=> c = 2.5

Therefore, c = 2.5 is our answer.

Hoped this helped.

Answer:

B-2.5

Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5

Knowing that a squence (a of n) is monotonically increasing and it's subsequence is convergent to a value A∈lR (for any n1 How do I prove that (a of n) converges to A aswell.

Answers

Suppose {xn} is increasing and has a subsequence {xnk} which converges to L. We will prove that {xn} itself converges to L.

For any ϵ>0, we want to find an integer Nϵ such that |xn−L|≤ϵ for any n≥Nϵ.

Since {xnk} is increasing and converges to L, we can find kϵ such that for any k≥kϵ, −ϵ<xnk−L<0.

Take Nϵ=nkϵ, then for any n≥Nϵ, xnkϵ≤xn≤L, so −ϵ≤xnkϵ−L≤xn−L≤0.

Similarly, we can prove when {xn} is decreasing

Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4 ​

Answers

14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2

Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

4 examples of one step equation

Answers

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?

Answers

Based on the information given the original size of the bottle is 17.5 ounces.

Using this formula

Original size of the bottle =New bottle size / Percentage increase

Where:

New bottle size=18.4 ounces

Percentage increase=(1+0.05)=1.05

Let plug in the formula

Original size of the bottle=18.4/(1+0.05)

Original size of the bottle=18.4/1.05

Original size of the bottle=17.5 ounces

Inconclusion the original size of the bottle is 17.5 ounces.

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Answer:

17.5

Step-by-step explanation:

i did the math and also im never wrong swear on got thats the annswer

pls help i’ll mark brainliest!!
Aiden runs 1500 meters in 8 minutes. Find the slope of the linear function that represents this relationship.
Aiden runs 187.5 meters perminute.
Aiden runs 180 meters per minute.
Aiden runs 200 meters per minute.
Aiden runs 12 meters per minute.

Answers

Answer: Aiden runs 187.5 meters per minute.
Explanation: Literally divide the two numbers

The slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Aiden runs 1500 meters in 8 minutes.

We know slope= Rise/ Run

So, slope= 1500 /8

slope= 187.5

Hence, the slope of the linear function that represents this relationship is Aiden runs 187.5 meters per minute.

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Subtract from (4x- 5y+3z) from the sum of (9x+2y-3z), (-10x+ y- z) and (2x+ 3y+ 7z).
Explain​

Answers

Step-by-step explanation:

★First let's find out the sum.

(9x + 2y - 3z) + (-10x + y - z) + (2x + 3y + 7z)

= (9x - 10x + 2x) + (2y + y + 3y) + (-3z - z + 7z)

= (x) + (6y) + (3z)

= x + 6y + 3z

Now subtraction:

(x + 6y + 3z) - (4x - 5y + 3z)

= (x + 6y + 3z - 4x + 5y - 3z)

= (x - 4x + 6y + 5y + 3z - 3z)

= -3x + 11y

★∴Answer is -3x + 11y

______________________

A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches

Answers

Answer:

Length = 6in

Width = 4in

The formula for solving the perimeter of a rectangle is:

P = 2(L+W)

The formula for finding the area of a rectangle is:

A = L x W

If we substitute our values, we will get:

P = 2(6 + 4)

P = 2(10)

P = 20in

A = 6 x 4

A = 24in²

How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?

Answers

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

solve pls brainliest

Answers

Answer:

33/36

Step-by-step explanation:

33/35

Step-by-step explanation:

Dividing 11/14 by 5/6 is the same as multiplying by 6/5 ( reciprocal)

What is 68×4-43..? XP I really need help with this one.​

Answers

Answer:

229

Step-by-step explanation:

Do order of operations so you multiply 68 by 4 first which is 272. Then you subtract 43 from that and you get 229.

Hope this helps!

Catering the concord theater serves punch during intermission. If each of 200 people think 1 c of punch, how many gallons of punch should be prepared?

please help and show me the answer thank you

Answers

Answer:

they will need 2 gallons of punch

Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.

Answers

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].

But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].

[tex]170000*\pi = 534070.75 (Rounded)[/tex]

SLOVE
18(5)

A. 95

B. 90

C. -90

D. -95

Answers

Answer:

90

Step-by-step explanation:

do 18x5

in which town does the total number have meaning

Answers

This question is incomplete, please provide more information!

Part B
Transform the equation that you identified in part A so the variable k is alone on one side of the equation.

Answers

Answer:

Start with the original equation.

k + a = 500

Subtract a from both sides of the equation.

k + a – a = 500 – a

           k = 500 – a

Step-by-step explanation: this was my edmentum answer

The total cost of 1 pencil and 2 erasers is £8, and the total cost of 2 pencils and 4 erasers is £20, as shown below:

Let the cost of 1 pencil be £x, and the cost of 1 eraser be £y. Write two linear equations in x and y:

Answers

Answer:

see explanation

Step-by-step explanation:

The 2 equations are

x + 2y = 8 → (1)

2x + 4y = 20 → (2)

help me please the drop down menu is the same for top and bottom i’m lost:(

Answers

I think…

0=2 : no solutions
2=2 : infinite solutions

Answer:

1) No solution

2) Infinitely many solutions

Step-by-step explanation:

1) No solution

0=2 is false.

2) Infinitely many solutions

2=2 is true because both sides are equal, hence, it is an infinite solution.

Hope this helps :)

Help me please guys! :(((( or else.!! PLEEEASEE!

Answers

Answer:

Option 4 from the top down: -2.4 ≤ -2.40

Step-by-step explanation:

If looked at without regard for their amount of significant digits, we can state that:

-2.4 = -2.40

Thus, it is true that

-2.4 ≤ -2.40

As this states that -2.4 is smaller or equal to -2.40, of which the latter is indeed true.

Order the side lengths.

Answers

Check the picture below.

now, we know, the wider the angle, the longer the opposite side.

so, let's just look at all 5 sides and check the angle that's opposite to them, or namely, making the side.

[tex]\stackrel{DF}{46^o}\qquad \stackrel{CD}{55^o}\qquad \stackrel{CE}{74^o}\qquad \stackrel{EF}{45^o}\qquad \stackrel{DE}{89^o} \\\\\\ \stackrel{\textit{in ascending order}}{\stackrel{EF}{45^o}~~ < ~~\stackrel{DF}{46^o}~~ < ~~ \stackrel{CD}{55^o}~~ < ~~ \stackrel{CE}{74^o}~~ < ~~ \stackrel{DE}{89^o}}[/tex]

ed says a decimal grid shows 10 tenths monica says a decimal grid shows 100 hundredths who is correct explain PLEASE HELP I NEED TBIS DONE IN 30 minutes

Answers

Answer:

will i need a picture but its probably 10 count by 5s

Step-by-step explanation:

Solve the inequalities from parts A and D for the variables b and n, respectively.



Part A:2b<56
Part D:n<56

Answers

Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT

Answers

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

Write the equation of the line with a slope of 10 that goes through the point (8,-2) in slope intercept and point slope form?

Answers

Answer:

y=10x-2

Step-by-step explanation:

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