A hemispherical tank is filled with water and has a diameter of 12 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answers
Answer:
The total weight = 1286 × 62.4 = 80246 pounds.
Step-by-step explanation:
The formula of the volume of the sphere is
V = 4/3×π×r³
Given
d = 17 feet
d = 2r
r = d/2 = 17/2 = 8.5 feet
V = 4/3×π×r³
Since we need half of the volume as it is a hemispherical tank.
= 1286 ft³
Given that the weighs 62.4 pounds per cubic foot
Thus, the total weight = 1286 × 62.4 = 80246 pounds.
Related Questions
if someone can please answer the question in the picture thatd be great
Answers
Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h = [tex]\sqrt{432}[/tex] ≈ 20.8 ft ( to the nearest tenth )
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
Answers
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Answers
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]\sqrt{3}[/tex] = m
Step-by-step explanation:
So we can say;
Tan(30) = m/3
=> Tan(30) * 3 = m
=> [tex]\sqrt{3}[/tex] = m
Hope this helps!
Picture below displays the process
Can someone please help me with math.
Answers
Answer:
11) C
14) B
Step-by-step explanation:
11) find the y-int (4) and slope (-4)
14) Complete the pattern for the table 4-20 ; 5-25 and for the graph, look for the y value when x is at 5 (20) so NY will have more snowfall.
Middle school math ! Plz help!!
Answers
Answer:
x < 11
Step-by-step explanation:
-9x + 40 > -59
Subtract 40 from each side.
-9x > -99
Divide by -9 on each side. (flip the symbol)
x < 11
b) Describe how to convert from the vertex form to standard form.
Answers
Answer:
go on MATH.WAY. it'll give you the answer and explanation. hope it help
Step-by-step explanation:
:)))
i need help, you’ll receive brainlest!
Answers
Answer:
D)
Step-by-step explanation:
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answers
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ3
A new car is purchased for $17300. The value of the car depreciates at 9.25%
per year.
IS THIS EXPONENTIAL OR DECAY????? Help
Answers
Answer:
Exponential
Step-by-step explanation:
Which expression is equivalent to 64y^18 - 1000z^6?
Answers
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Escribir un 1% como decimal
Answers
Answer:
0.01
Step-by-step explanation:
1% = [tex]\frac{1}{100}[/tex]
0.01
State six ordered pairs for this function.
F(x) = x2 +14x+45
Answers
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)
Plz help me this is my last one and I’ll mark as brainliesttt!!
Answers
Answer:
That the object is moving
as time goes by the distant goes lower
Step-by-step explanation:
I think
Answer:
the object is moving forward with decreasing speed.
Step-by-step explanation:
Obtuse can have right angles.
True or False
Answers
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
Carter's last ten shot put distances, in meters,are shown in the list 20.24, 20.11, 19.95, 19.99, 20.02, 19.88, 19.97, 20.21, 20.07 move words to the blanks to describe the measure of variability for this data set
Answers
Answer:
mad symmetric without
Step-by-step explanation:
The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI
Answers
the golden ratio is denoted by which greek letter?
Φ phi
Help please!!!!!!!!!!!!!!!!
Answers
Answer:
i cant see it
Step-by-step explanation:
PLEASE HELP! FAST
Find the volume of the remaining solid if the cylinder is removed from the center of a right rectangular prism. The diameter of the cylinder is 3 feet. Use 3.14 for pu and round to the nearest tenth if needed.
Answers
Work out the value of x.
Answers
Answer:
x = 15
Step-by-step explanation:
180 = 90 +4x +2x
90 = 6x
15=x
Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0
Answers
Answer:
y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
12y³ - 13y² + 3y = 0 ← factor out y from each term
y(12y² - 13y + 3) = 0
y(3y - 1)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
Solve equation.
2x-5=-3+2x
Answers
Answer:
x = 2
Step-by-step explanation:
Please help me it would mean the world. A lot of points!
The answer is 80cm^2 provided by my teacher I just need the work.
Answers
Evaluate f(8): SHOW ALL YOUR WORK
f(x) = x2 – 4
Answers
Answer:
60
Step-by-step explanation:
substitute x=8
f(8)=(8)2-4=60
Answer:
60
Step-by-step explanation:
f(x) = x² - 4
f(8) = (8)² - 4 = 64 - 4 = 60
find the angles of x and y
Answers
or, x=180
or,34=180
or,180-34
or x=146
Now,
or, y=146
or,18=146
or146-18
or, y=128
there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146
Plz help on this as soon as possible
Answers
Please help I NEED THE ANSWER IN THE NEXT 2 MINUTES
Answers
Answer:
6 bc yes
Step-by-step explanation:
Stem-and-leaf plots provide a way to graphically compare data, unlike histograms. However, they are more difficult to construct. B. Stem-and-leaf plots can compare quantitative data to qualitative data, unlike histograms. However, they are not very useful for large data sets. C. Stem-and-leaf plots are easier to make and can contain more information than histograms. However, they are not very useful for large data sets. D. Stem-and-leaf plots are more useful for large data sets and can display more information than histograms. However, they are more difficult to construct.
Answers
Question:
Discus the advantages and disadvantages of histograms versus stem-and-leaf plots
Answer:
C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets
Step-by-step explanation:
A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis
The stem and leaf plot consists of a stem and a leaf arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram
However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.
i need help with this
Answers
Answer:
(1,3)
Step-by-step explanation:
It is the intercept of the two lines
taylor swift buys a set of guitar strings for £42.50. how much do 2 sets of guitar strings cost?
Answers
Answer:
it costs £85
Step-by-step explanation:
cost of 1 set of guitar strings = £42.50
cost of 2 set of guitar strings = £ (42.50 × 2)
= £85