What is the diameter of a cone with height 8 m and volume 150 pi m3 ?
A. 7.5 m
B. 5V3 m
o C. 7.573 m
D. 15 m
Answers
Answer:
V = pi*r^2*h
V = 150 m^3
h = 8 m
150 = pi*r^2*8
Solve for r (the radius) then multiply by 2 to obtain the diameter.Only, this is a cone, not a cylinder.
V = 1/3 pi r^2 h
Diameter of the cone is 15 m. So, option D is correct.
What is meant by solid shape ?Solid shapes are defined as the three-dimensional objects that are described by the three dimensions length, breadth and height.
Here,
Volume of the cone is given by,
V = 150[tex]\pi[/tex] m³
Height of the cone, h = 8 m
We know, the equation for the volume of a cone is,
V = 1/3[tex]\pi[/tex]r²h
where r is the radius and h is the height of the cone.
So,
(1/3) [tex]\pi[/tex]r²h = 150[tex]\pi[/tex]
r²x 8 = 3 x 150 = 450
r² = 450/8
r² = 56.25
r = 7.5 m
Therefore, diameter of the cone,
d = 2r
d = 2 x 7.5
d = 15 m
Hence,
Diameter of the cone is 15 m.
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Related Questions
What is the circumference of this circle? Use 3.14 for pie
Answers
Answer:
37.68
Step-by-step explanation:
C=3.14 x 12
c = 2(3.14) r
The image shown provided the diameter. Half of the diameter is the radius so:
12/2 = 6
r = 6
c = 2(3.14) 6
c = 37.68
Please help! And serious answers please
Answers
Answer:
I think it is 10
Step-by-step explanation:
Well, there are 2 segment of 4 and 1 segment of 3, meaning it is about 10 away. (rounding to the nearest tenth)
Is the following sequence arithmetic?
23, -7, -37, -67, …..
Answers
Answer:
No it's not an Arithmetic Sequence since it doesn't have a constant common ratio
Hope this helps!
The product of two numbers is 323 and the difference between them is 2. What are the two numbers?
Answers
Answer:
17 and 19
Step-by-step explanation:
17 * x = 323
x = 323 / 17
x = Second number = 19.
Step-by-step explanation:
323
2
=16×2=32
=3×1=3
=3
=16
=16,3
what operation do we use 2/5 of 100? what operation is involved when you use the word of here?
Answers
Answer:
multiply
Step-by-step explanation:
2/5of 100 === 2/5 × 100
Answer =40
Answer:
multiplication
Step-by-step explanation:
the word of means to multiply, so it would be multiplication
the equation written out would look like:
[tex]\frac{2}{5}*100[/tex]
A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?
A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5
thank you !!:) <3
Answers
Answer: i think it’s D
Step-by-step explanation:
Olivia’s makes $825 per week at her job at Target. She is paid an additional $15.00 for every hour of overtime she works. Olivia’s goal was to make at least $900 on her paycheck. How much overtime would she have to work to accomplish her goal?
Write, solve and graph the inequality.
Answers
Answer:
Step-by-step explanation:
900-825=75
75/15=5
5 hours extra
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answers
Answer:
[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]
Step-by-step explanation:
We are given this data and asked to find the data.
8, 7, 8, 5, 4, 6
The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.
[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]
First, we calculate the sum of the terms. Add up all the numbers.
sum= 8+7+8+5+4+6 sum= 38[tex]mean=\frac{38}{number \ of \ terms}[/tex]
Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).
[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]
Let's round to the nearest tenth.
6.33333333333The 3 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]mean \approx 6.3[/tex]
The mean number of movies the students saw is approximately 6.3
Step-by-step explanation:
Terms are
8,6,8,5,4,6[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]
[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]
[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]
¿En què situaciones usamos los nùmeros enteros positivos y negativos, escribe 2 ejemplos de cada uno? Por favor para ahora hocino me jalan :(
Answers
Respuesta:
Los enteros positivos, o números enteros, se utilizan de muchas maneras durante la vida diaria. Los números de carretera se contabilizan junto con los límites de velocidad de la carretera. Los enteros se utilizan para comprender qué velocidad conducir en una carretera determinada. Los números en los relojes se utilizan para entender la hora y para configurar las alarmas del reloj. Hay números en edificios y casas para identificar direcciones y números para los niveles de piso dentro de los edificios. Los mapas utilizan enteros para proporcionar dirección e información. Los enteros negativos pueden ser menos obvios para su uso en la vida cotidiana. Algunos ejemplos de uso negativo de enteros incluyen las lecturas del termómetro, manteniendo la puntuación en un juego de hockey, altitud y bancos. Aunque todos estos ejemplos utilizan enteros positivos, también utilizan enteros negativos. Un termómetro utiliza negativo enteros para representar temperaturas por debajo de cero. En hockey, cuando el otro equipo anota en la línea del primer equipo, es un menos, pero cuando el primer equipo anota, es un plus. La altitud que está por debajo del nivel del mar está representada con números negativos. Los bancos y las cooperativas de crédito representan débitos con enteros negativos y créditos con enteros positivos.
Geometry: CC 2015 > Chapter 9: Chapter 9 Test > Chapter Test 9
Answers
Answer:
ohk where is test
Step-by-step explanation:
and question
Find the length of AB
Answers
Answer:
35.6 units
Step-by-step explanation:
By intersecting chords theorem:
10*x = 16*16
10x = 256
x = 256/10
x = 25.6
AB = 10 + x
AB = 10 + 25.6
AB = 35.6
What is the quadratic regression equation that fits these data?
Number of seconds Height (in feet)
0,11 1,13 2,13 3,15 4,9 5,1
Answers
Answer:
Step-by-step explanation:
do you know the answer?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer: I believe the answer is D
Step-by-step explanation:
Answer:
B. Number of days she trains
Find x if the average of 20, 15, 13, 17, and x is 18.
Answers
Answer:
5
Step-by-step explanation:
Help! I will give brainliest to the best answer.
The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?
Answers
Answer:
60 inches = 5 feet.
Step-by-step explanation:
12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high
how can i solve that equation by factoring
Answers
Answer:
y = ( x + 3 )( x + 5 )
Step-by-step explanation:
N/A
Answer:
[tex]y = {x}^{2} + 8x + 15 \\ factors \: = 3 \: and \: 5 \\ y = {x}^{2} + 3x + 5x + 15 \\ y = x(x + 3) + 5(x + 3) \\ y = (x + 5)(x + 3) \\ either \: (x + 5) = 0 \: or \: (x + 3) = 0 \\ x = - 5 \: and \: - 3[/tex]
The mean (average) number of albums released by the four artists is 7 albums. Calculate the mean absolute deviation (MAD) of the data shown in the display below.
Answers
Answer:
I'm sorry I dint understand the question very well
What is the value of S4 for infinity sigma n=1 10(0.2)^n-1
A. 2.48
B. 12.48
C. 16
D. 24
Answers
Answer:
The answer is B. 12.48. I hope you have an amazing day <3
Step-by-step explanation:
Answer:
The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48
Step-by-step explanation:
Summationsummation is the addition of a sequence of any kind of numbers
Here we need to find the summation of first four terms.
so ,
S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex] = 0.08
S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4
S₂ = 10 × [tex]( 0.2 )^{2-1}[/tex] = 2
S₁ = 10 × [tex]( 0.2 )^{1-1}[/tex] = 10
Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48
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Please help!!! Im trying to bring my math grades up!!!
What is the area of a circular pool with a diameter of 20 feet? Use 3.14
for pi and round your answer to the nearest hundredth.
Answers
Answer:
314
Step-by-step explanation:
To find the area of a circle using the diameter, use this formula:
[tex]A=\frac{1}{4}\pi d^2[/tex]
Substitute the diameter and the value of pi:
[tex]A = \frac{1}{4}*(3.14) * (20)^2[/tex]
[tex]A = 0.785 * 400[/tex]
A = 314
Find the equation of the line through the points
(
−
9
,
−
14
)
and
(
18
,
1
)
.
Answers
Answer:
y=-13/9x+27
Step-by-step explanation:
Simplify 4p+3q-3p-3q
Answers
Answer:
4p+3q-3p-3q
=4p-3p+3q-3q
=p+3q-3q
=p
Step-by-step explanation:
32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.
Answers
Answer: = 16
Step-by-step explanation: Hope this help :D
What is the answer to this question?
Answers
Answer:
Step-by-step explanation:
Hello!
2*2* 5+ 2*2*4 =
20 + 16 = 36 cm³
change 64/11 into a mixed number
Answers
Answer:
5 9/11
Step-by-step explanation:
I need to ask u two question for my Statistics Project. This is more of a survey.
Answers
PLEASE HELP <3
Mrs. Neville determined the following annual expenses for energy from her last year's bills: electricity = $4,135; gas = $890; water and sewer = $698. If she budgets 25% more for next year, what is her monthly budget for energy?
$521.87
$547.22
$596.15
$601.44
None of these choices are correct.
Answers
Answer:
n=21000.
Step-by-step explanation:
$3.60
Amelia received $4.15 in tips from one table. All of her tips were in quarters, dimes and nickels. There were five less dimes than quarters and three more nickels than twice the number of quarters. How many dimes did she have?
Answers
Step-by-step explanation:
received $4.15 in tips from one table. All of her tips were 4.1500in quarters, dimes and nickels. There
Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay? Show your work.
Answers
Answer:
20% increase in her pay
Step-by-step explanation:
It's 20% increased, because it increased by $2, $2 goes into $10 5 times, and if you were to put that into percentages 2 is a fifth of 10 so that would 20%, because 20 is a fifth of 100.
Answer:
It's 20% increased,
Step-by-step explanation:
because it increased by $2, $2 goes into $10 5 times, and if you were to put that into percentages 2 is a fifth of 10 so that would 20%, because 20 is a fifth of 100.
What is the area of the triangle??
Answers
Answer:
Answer is 12
Step-by-step explanation:
height is (4 square untis) and base is (6 square units).
Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.
Hope this helps !
Find 30% decrease from 95
68.40
63.20
66.50
Answers
Answer:
66.50
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