A cylinder has a volume of 51[tex]m^3[/tex]. What is the volume of a cone with the same diameter and height as the cylinder?
51 [tex]m^3[/tex]
8.5 [tex]m^3[/tex]
17 [tex]m^3[/tex]
153 [tex]m^3[/tex]

Answers

Answer 1
17 m^3

The formula fir the volume of a cylinder is pi(r^2)(h) where r is the radius and h is the height.

The formula for the volume of a cone is pi(r^2)(h/3)

If the diameters are the same, then the radius’s are the same because radius is half the diameter. The heights are also the same.

In the volume formula for a cylinder, you multiply everything together.

In the volume for a cone, you multiply everything together, then divide that number by 3. The number before being divided by three is the same number as the volume of a cylinder. This means that to find the volume of the cone with the same height and diameter of the cylinder, you just need to divide the cylinders volume by 3.

51/3 = 17, so the volume of the cone is 17


Related Questions

Simplify (3/5x-5)(3/5x+5)

Answers

Answer:

9/25x^2 -25

Step-by-step explanation:

which set of points lie on the given graph?

• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)

Answers

The answer is B (3, 9), (1,-5), (3,3)
Second one is the correct answer

Help me please I give brainliest and be serious

Answers

13. Graph B because it is going through the most points and that is what a line of best fit should do.
14. Graph A because it is going through the most points.

plzzzzzzzzzzzzzzzz SOLVE THE PIc

Answers

Answer:

The area is 72.

Step-by-step explanation:

2 * 6 = 12

6 * 10 = 60

60 + 12 = 72

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

72 units squared

Step-by-step explanation:

6x2=12

10x6=6

60+12=72

Which rule should be applied to reflect f(x)=x^3 over the line y=x?​

Answers

Answer:

if y=x

than f(x)=x³

be

f(y)=y³

Answer:

y = x

f(x) = x³

f(y) = y³

These triangles
are congruent by
the triangle
congruence
postulate [? ]

Answers

Yes it b because SAS is side angle side and they have two congruent sides and one congruent angle

The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

Learn more about the triangle visit;

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Help Please I don’t understand

Answers

Answer:

128.10

Step-by-step explanation:

(8 * 16.95) - 7.50

(135.6) - 7.50

128.10

Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km​

Answers

Answer:

1 L of petrol is used to travel 9 km.

Step-by-step explanation:

You can find the answers through the ratio method

20 L : 180 km

1 L : x

( x is the number we must find )

20 x = 180

x =

x = 9 km

Is 4(7-1) and 28-1 equal?

Answers

Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]

Answers

Answer:

The dimensions of the box are;

2 feet, by 2 feet, by 4 feet

Step-by-step explanation:

The given parameters are;

The volume of the closed box = 16 ft³

The material with which the top is made = The material with which the bottom is made

The cost of the material with which the top and bottom is made = 10 cents/(ft.²)

The cost of the material with which the side is made = 5 cents/(ft.²)

Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;

x·y·z = 16...(1)

The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z

∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)

From equation (1)

z = 16/(x·y)

Therefore, we have;

20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)

20·x·y + 160/(y) + 160/(x)

Differentiating, we get;

f'(x) = 20·y - 160/x²

f'(y) = 20·x - 160/y²

20·y - 160/x² = 0

y = 8/x²

20·x - 160/y² = 0

x = 8/y²

∴ x = 8/(8/x²)² = x⁴/8

8 = x⁴/x = x³

x = ∛8 = 2

The length, x = 2 feet

y = 8/x² = 8/2² = 2

The width, y = 2 feet

z = 16/(x·y) = 16/(2 × 2) = 4

The height of the box, z = 4 feet

Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.

write equations for lines

Answers

y=mx+b

y-y1=m(x-x1)

Ax+By= C

y=mx+b

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

Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.

a. 16 x 8 + 24
b. (16 ÷ 8) + 24
c. 24 − 8 + 16
d.(16 − 8) + 24

Answers

Answer:

Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.

The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

What is an expression?

An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

The algebraic expression is,

''add 24 to the quotient of 16 and 8.''

Now, We can write the expression as;

Quotient of 16 and 8 is,

⇒ 16 ÷ 8

And, Add 24 to the quotient of 16 and 8.

⇒ (16 ÷ 8) + 24

Thus, The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

Learn more about the mathematical expression visit:

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what is bigger 1 yard or 35 inches

Answers

1 yard since 1 yard is 36 inches and 35 inches is less than 36 inches

Answer:

Step-by-step explanation:

1 yard has 3 feet

1 foot has 12 inches

3 feet have 3 * 12 = 36

36 is greater than 35

1 yard is greater than 35 inches.

Which of these is something you can pay for with the money in a savings account?

Answers

College is the correct answer

WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST


The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)


A)
12 1 / 2 cm^3


B)
45 cm^3


C)
67 1 / 2 cm^3


D)
85 cm^3

Answers

Answer:

c. 67.5 cm^3

Step-by-step explanation:

V=whl

v=5*3*4.5

v=15*4.5

v=67.5 c^3

So C would be correct

Hope i helped, Brainliest would be appreciated!

Have a nice day!

 -Aadi x

The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.

A.) What was the initial mass (in mg) of the sample?


B.) What is the mass (in mg) 4 weeks after the start?

You may enter the exact value or round to 4 decimal places.

Answers

9514 1404 393

Answer:

  A) 448 mg

  B) 3.5 mg

Step-by-step explanation:

24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.

A) The initial mass is 2^6×(7 mg) = 448 mg

__

B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.

  (7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks

What is the answer?

Answers

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)

Find the approximate area of the triangle.

30 square

15 square

21 square

45 square

Answers

Answer:

A

Step-by-step explanation:

Hard to explain xD

work out m and c for the line y= x+4​

Answers

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

Find the volume of the figure below. Round to the nearest tenth it needed. Please help

Answers

Answer:

1,060.8 mm³

Step-by-step explanation:

Volume of the triangular prism = ½*bhl

Where,

b = 12 mm

h = √(12² - 6²) ≈ 10.4 mm (pythagorean theorem)

l = 17 mm

Plug in the values

Volume = ½*12*10.4*17

Volume = 1,060.8 mm³


Plz I need the answer fast

Answers

I think it’s 7, because 10% is 2.55

-4.5t + 11.75 = 20.75
WITH STEPS

Answers

The very first step is...

need help geometry question central angles and arcs?

Answers

Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

The answers is 135 hope this helps let me know have a good day

giving brainliest !! *easy*

Answers

Answer:

25

Step-by-step explanation:

25

easy 5th grade math please look at photo and show work. Giving brainliest!!

Answers

Answer:

6 4/5

Step-by-step explanation:

He has 1 1/5 lb. He needs 8 lb.

He needs the difference between 8 lb and 1 1/5 lb, so this is a subtraction problem. We must subtract 8 lb - 1 1/5 lb.

8 - 1 1/5 =

We cna subtract the 1 from the 8, but we need a fraction with fifths at the 8 in order to subtract 1/5 from it. We borrow 1 from 8 leaving 7, and we write the 1 as the fraction 5/5. Now we have

= 7 5/5 - 1 1/5

We subtract 1 from 7 leaving 6, and we subtract 1/5 from 5/5 leaving 4/5.

= 6 4/5

Answer: 6 4/5

Write the percent as a decimal.
0.23
​%
0.23
​%equals

Answers

23% is the answer to your question

Find the slope of the line through the pair of points. C(–6, –7), K(–1, –7) undefined 0

Answers

Answer:

0

Step-by-step explanation:

Slope of line

[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]

Answer:

It is Undefined so its 0

There are 16 cans of soda. One eighth are Coke. How many Cokes

Answers

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

pls help me with this math question pls its hard i want the explanation pls​

Answers

straight line = 180 degrees so angle opposite a = 180-128 = 52
then triangle adds up to 180 degrees so a= 180-52-73 =55 degrees

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°

the volume of sphere is increaseing
at the Constant rate of 10cm²lsee-
Calculate the rate of increase of
the surface area
at the Instant
When the radus is 5cm. What
is the radius of the sphere when
the surface are is increasing at 2cm​

Answers

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

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