A cylinder holds 87 gallons of water. How many gallons of water does a cone with the same radius
height hold? Explain your reasoning.

Answers

Answer 1

Answer:

the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons

Step-by-step explanation:

Let the radius in both cases be r and the height in both cases h.

Cylinder volume is (area of base)(height), and

Cone volume is (1/3)(area of base)(height).

Thus, the cone holds only 1/3 as much water as the cylinder, which comes to 29 gallons.


Related Questions

Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof.

He had 250 square feet of metal to use to build the shed. (What is the surface area of the storage Shed that Frank Designed?) (Does Frank have enough metal to construct his design yes or no?)

Answers

Answer:

Yes, Frank does have enough, he has 250 metal and only has 228 surface area.

Step-by-step explanation:

You take all the triangles (4) and multipy 4 x 6 (24) then divide that by 2 (12) so now you know all the triangles are equal to 12. Then the squares, you multiply 6 x 6 (36) now you know all the squres are equal to 36 and then you add 12 + 12+12+12+36+36+36+36+36 and then you get 228.

Select each figure which the value of x is 42

Answers

Answer: 6

Step-by-step explanation: Sorry if it's wrong

Sabrina has designed a rectangular painting that measures 60 feet in length and 40 feet in
width. Alfred has also designed a rectangular painting, but it measures x feet shorter on
each side. When x = 2, what is the area of Alfred's painting?

Answers

Answer:

100

Step-by-step explanation:

Can someone help me please? Ill mark brainliest c:

Answers

I don’t know the rest, but I think the 1st and 3rd ones are true! I hope this helps some, I’m sorry if it’s incorrect!

Dado a seguir 1, 1, 1, 2, 4, 2, 6, 3, 3, 7, 2, 3, 8, 9 podemos afirma que:
a)A média é 3
b)A moda 7
C)A mediana é 3
d)a moda é 1
e)a media é 3,4

Answers

La respuesta correcta es la letra E: a media é 3,4
De nada ten un lindo día

If triangle height was 3ft and the base was 24ft what be the area? WILL GIVE BRANLIEST

Answers

Answer:

A=36 ft²

Step-by-step explanation:

the formula for the area of a triangle is given as (b*h)/2, where b is the base and h is the height

we are given the a height of 3 and a base of 24

so we can plug what we know into the formula

A=(3*24)/2

multiply

A=72/2

divide

A=36 ft²

hope this helps!

( Click on the photo to see fully)

How does this create two “congruent” right angle triangles when i thought it had to be similar in 3 ways to be congruent

Answers

Though these segments aren't marked congruent in the diagram, the two lines inside the circle making up the bases of the triangles are congruent as all radii are congruent. So the triangles are congruent by SAS.

Simplify 5- (-2x – 7)

Answers

Answer:

Hi! The answer to your question is 2x + 12

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The factor would be 2(6+x) simplified it would be 12+2x hope this helps!

What’s the answer for JLM? (Arc measure)

HELP PLEASE

Answers

Answer: Q is 55 and the left side = 180 hope this helped

Step-by-step explanation:

What is the surface area of the shoebox with the dimensions shown in the figure?

Answers

Answer:

256in^2

Step-by-step explanation:

12×5=60

60×2=120

5×4=20

20×2=40

12×4=48

48×2=96

120+40+96=256

A=256in^2

A die is tossed 24 times and lands on 1 three times. Suppose it is tossed 160 times. Find
the theoretical probability of landing on a 1.
a. 15
b. 20
C. 24
d. 13

Answers

Is a ,,,,,,,,,,,,,,,,,,,,,

The mean of 12 numbers is 20 and the mean of another 8 numbers is 25 find the mean of the 20 numbers

Answers

Answer:

22

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 12 numbers is 20 , then

[tex]\frac{sum}{12}[/tex] = 20 ( multiply both sides by 12 )

sum = 240

Given the mean of 8 numbers is 25 , then

[tex]\frac{sum}{8}[/tex] = 25 ( multiply both sides by 8 )

sum = 200

Total sum of the 20 numbers = 240 + 200 = 440, then mean of 20 numbers is

mean = [tex]\frac{440}{20}[/tex] = 22

What are the measures of the other three angles formed by the intersection?

Answers

Answer:

1 = 130

2 = 50

3 = 130

Step-by-step explanation:

Since we already know that one angle is 50 degrees, this also tells us that angle two is congruent to it because it is opposite to it. Now the two other adjacent angles, basically just do 180-50 to get 130.

130, 50, and 130 !!!!!!!!!!!!!

Amir is solving the equation x2 + 8 +6=0 with the quadratic formula.

Which values could he use for a, b, and c?

A = 1, B = 8, C = -6

A = 1, B = -8, C = 6

A= -1, B = -8, C = -6

A = 1, B = 8, C= 6​

Answers

Answer: The CORRECT answer is

a=1, b=8, c=6

Step-by-step explanation:

Took the quiz

The values that can be use for a, b and c in the equation 2x² + 7x − 5 = 0 are a = 1, b = 8, c = 6

Quadratic equation formula

The quadratic equation formula is represented as follows:

ax² + bx + c

where

a, b and c are unknown numbers. a is not 0x  = unknown

Therefore, lets model the quadratic equation x² + 8x + 6 = 0 to ax² + bx + c

Hence,

a = 1

b = 8

c = 6

learn more on quadratic equation here: https://brainly.com/question/23025394

the length of the hypotenuse of a right triangle is 15 and the length of one leg is 12 find the length of the other leg​

Answers

Answer:

the other leg would be 12

hypothenuse = 15
one side length = 12
a^2 + b^2 = c^2
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 81
b = squareroot 81

Solution: the other leg is 9 units

Find the measure of the tangent line, x. Round to the nearest tenth.

Answers

Answer:

x=13.7

Step-by-step explanation:

CD=CB=6

AC=AD+CD => AC=9+6 => AC=15

AC^2= AB^2 + BC^2 => 15^2 = X^2 + 6^2 => 225 = X^2 + 36 => X^2 = 225 - 36 => X^2 = 189 => X=13.7

The value of x or measure of the tangent line is 13.7 units

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We have to find the value of x

CD=CB =6 units

CA=CD+DA

CA=9+6

=15 units

By pythagoras theorem

6²+x²=15²

36+x²=225

x²=225-36

x²=189

x=13.7=14

Hence, the value of x or measure of the tangent line is 13.7 units

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

students at franklin middle school were serveyed to find where they spent there summer vacation .the graph below represents the data from 80 students.

how many more students surveyed spent their summer vacation in californa than number of students who spent their summer vacation in colorado?

Answers

Answer:

B. 4 people

Step-by-step explanation:

In total, there are 80 students, so the number of people who spent their vacation in california is 25% of 80, which is 20 people.

For the number of people who went to Colorado, it is 20% of 80, which is 16.

20-16 = 4 people

If you spin the spinner 11 times, what is the best prediction possible for the number of times it will land on yellow? ​

Answers

Answer:50%

Step-by-step explanation:

4/11 because it is four yellow out of 11 in all

Help me with this question please

Answers

Y=6x

The slope of the equation is six meaning you go up six and over 1 to find the next point.

Please helpppp i don’t understand

Answers

Answer:

Think the answer will just be 5

Step-by-step explanation:

I don't use step by step so yeah

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

Answers

Answer:

ABCD is not a parallelogram

Step-by-step explanation:

Use the distance formula to determine whether ABCD below is a parallelogram. A(-3,2) B(-3,3) C (5,-3) D (-1.-5)

We have to find the length of the sides of the parallelogram using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For side AB

A(-3,2) B(-3,3)

= √(-3 -(-3))² + (3 -2)²

= √0² + 1²

= √1

= 1 unit

For side BC

B(-3,3) C (5,-3)

= √(5 -(-3))² + (-3 -3)²

= √8² + -6²

= √64 + 36

= √100

= 10 units

For side CD

C (5,-3) D (-1.-5)

= √(-1 - 5)² + (-5 - (-3))²

= √-6² + -2²

= √36 + 4

= √40 units

For sides AD

A(-3,2) D (-1.-5)

= √(-1 - (-3))² + (-5 -2)²

= √(2² + -7²)

= √(4 + 49)

= √53 units

A parallelogram is a quadrilateral with it's opposite sides equal

From the above calculation

Side AB ≠ CD

BC ≠ AD

Therefore, ABCD is not a parallelogram

PLEASE HELP ASAP ILL GIVE BRAINLIEST

Solve for x.

John has 23 less apples in his left hand (x) than x * 7.

What is X?

Answers

Answer:

x>-23/7

Step-by-step explanation:

-23<7x

7x>-23

x>-23/7

the answer is x>-23/7

in a class room 1/6 of students are wearing blue shirts 2/3 are wearing white shirts there are 12 students how many are wearing shirts other than blue shirts?

Answers

Answer:

4 students

Step-by-step explanation:

what we know: 12 students, 2/3 are wearing blue, 1/6 are wearing red

first you have to make the fractions have the same denominator(2/3=4/6)

theres also 1/6 that are not wearing blue or red (1/6+4/6=5/6, 6/6-5/6=1/6)

so that makes it 2/6 of the students not wearing blue(1/6+1/6=2/6)

simplify(2/6=1/3)

1/3 of 12 is 4 (12÷3=4)

the equations are in parentheses and bolded, italicized, underlined.

hope this helps :)

A counselor plans transportation for 120 students for a field trip using buses and vans.
• Exactly 120 students can fit in 2 buses and 2 vans.
Exactly 120 students can also fit in 1 bus and 6 vans.
.
Which statement is true?

Answers

Answer:

Each bus can fit

48

students, while each van can fit

12

students.

Step-by-step explanation:

can you please help me

Answers

Answer:

I can see the picture can u resend it?

Step-by-step explanation:

If the graph of a quadratic function has x-intercepts at x = -1 and x = -2, what conclusions can be drawn about the function?

A. The roots of the function are 1 and 4.
B. The roots of the function are -1 and -2.
C. There is not enough information given to answer the question.
D. The zeroes of the function are 0 and 4.

Answers

The answer to this question is b

select all ordered pairs y = 2/3 x+1 satisfy the function

Answers

Step-by-step explanation:

The linear equation in two variables is ,

[tex]\implies y = \dfrac{2}{3}x + 1 [/tex]

This equation is in slope intercept form . Now since this equation is in single system. Therefore it will have infinite number of solutions. The point through which it will pass on the Cartesian plane will be its solutions. Since options are not provided , so i am mentioning some coordinates which is the Solution . For graph refer to attachment.

Two solutions can be ,

[tex]\begin{cases} (-1.5,0) \\ (0,1) \end{cases}[/tex]

Which of the following are square roots of the number below? Check all that
apply.
625
A. 6251/2
B. 125
C. -6251/2
D. 15
E. -25
O F. 25

Answers

Answer:

D

Step-by-step explanation:

Find the area of the figure. Round to the nearest tenth

Answers

Answer:

Find the area of each triangle and then add it up. As you are aware, to find the area of a triangle the equation is B times Height divided by 2.  And to make it easier do the top left triangle and the top right triangle, add them together and then divide that by 2.

Step-by-step explanation:

3 time 5 equals 15 divided by 2 equals 7.5

5 times 8 equals 40 divided by 2 equals 20

7.5 plus 20 equals 27.5

27.5 times 2 equals 55

therefor your answer should be 55m

what numbers must be taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers. ​

Answers

Given:

The two numbers are 6788678 and 1234567 .

To find:

The numbers that must be taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers.

Solution:

Let x be the required number.

Sum of given numbers is:

[tex]6788678+1234567=8023245[/tex]

Difference of the given number is:

[tex]6788678-1234567=5554111[/tex]

The number x is taken away from the sum of 6788678 and 1234567 to make it equal to the difference of the given numbers.

[tex]8023245-x=5554111[/tex]

[tex]8023245-5554111=x[/tex]

[tex]2469134=x[/tex]

Therefore, the required unknown number is 2469134.

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