volume of hemisphere whos area is 12.5 ft squared
Answers
Answer:
radius r = 1.41047396 m
base circumference C = 8.86226925 m
volume V = 5.87697483 m^3
curved surface area A = 12.5 m^2
base surface area B = 6.25 m^2
total surface area K = 18.75 m^2
In Terms of Pi πbase circumference C = 2.82094792 π m
volume V = 1.87069919 π m3
curved surface area A = 3.97887358 π m^2
base surface area B = 1.98943679 π m^2
total surface area K = 5.96831037 π m
Step-by-step explanation:
r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square rootHemisphere Formulas in terms of radius r:Volume of a hemisphere:V = (2/3)πr^3
Circumference of the base of a hemisphere:C = 2πr
Curved surface area of a hemisphere (1 side, external only):A = 2πr^2
Calculate the base surface area of a hemisphere (a circle):B = πr^2
Total surface area of a hemisphere:K = (2πr^2) + (πr^2) = 3πr^2
Answer:
Approximately 6.4 ft³
Step-by-step explanation:
A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:
[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]
Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:
[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]
Related Questions
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284? A 29,831
B 42,938
C 298,893
D 326,894
Answers
Answer:
it's option B 42,938
Step-by-step explanation:
in the question the value of 2 in 135,284 is 200
200× 10 =2000
therefore the number with 2 in thousands place is option B 42,938
Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d
Answers
The label on the cone that represents the diameter of the cone is the letter C
How to determine the correct label?From the figure in the complete question, the line C divides the base circle into two equal segments
The above is the same as the definition of the diameter
Hence, the label that represents the diameter of the cone is the letter C
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Answer:
C is the correct Answer
Step-by-step explanation:
[tex]\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}[/tex]
Answers
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]
[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]
Verification:
[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]
Simplify 3(2x+6)+4x-1
Answers
Answer: 10+17
Step-by-step explanation:
Distribute:
3(2+6)+4−1
6+18+4−1
Subtract the numbers:
6+18+4−1
6+17+4
Combine like terms:
6+17+4
10+17
solution:
10+17
How do I find out the median of this set of numbers?
138, 119, 182, 174, 142, 117, 152, 152
Answers
117 + 119 + 138 + 142 + 152 + 152 + 174 + 182 = 1176 : 8 = 147
Hi pls how do I find the volume of a short cylinder
Answers
Answer:
You find the volume of a cylinder with the formula of π × r² × h
6•(x•9) simplified please
Answers
Answer:
6x+54 should be the answer
Step-by-step explanation:
A triangle has sides with lengths of 20 yards, 48 yards, and 52 yards. Is it a right triangle?
yes
no
Answers
Yes
Step-by-step explanation:
Because the sides of this triangle follow the Pythagorean Theorem.
i.e.
[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]
[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]
what is the weight of a rectangular prism with the length of 1.75 width of 3.5 and a height of 7
Answers
Answer:
13.125
Step-by-step explanation:
Five different numbers are such that, 2 are odd, the median is 7, the mean is 8 and all numbers are less than 13. What are the five numbers?
Answers
Solution :
subtract the sum of t and r from s
Answers
Answer:
s-(t+r)
Step-by-step explanation:
A store pays $68 for a chest of drawers and markers the price up by 50% what is the amount of the mark up
Answers
Answer:
$102.00
Step-by-step explanation:
Simply multiply 68 by 50 percent
68 × 50% or 68 × .5 = 34
so . .
Add 68 + 34 = 102
PLEASE HELP ASAP
If (x + 3)2 = 42, what is the approximate positive value of x?
A) 0.48
B) 3.48
C) 5.48
D) 6.48
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution of the expression (x+3)²=41 can be found as shown below,
(x+3)²=42
(x+3)=√42
x+3=6.48
x = 3.48
Hence, the value of x is 3.48.
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7th grade math!!!!!! HELP!
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
Answers
Morgan begins to use synthetic division to divide x4 + x3 − 6x2 − 4x + 8 by x − 2, as shown below. Which of the following shows the correct values to replace the question marks, and also gives the quotient?
A. 2, 6, 0, −8; x^3 − 3x^2 + 4
B. 2, 6, 0, −8; x^3 + 3x^2 − 4
C. 1, 3, 0, −4; x^2 + 3x − 4
D. 1, 1, −6, −4; x^3 + 3x^2 − 4
Answer is a
The correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
P(x) = x⁴ + x³ − 6x² − 4x + 8
P(x) = 1x⁴ + 1x³ − 6x² − 4x + 8
By the synthetic division, we have
2 ║ 1 1 − 6 − 4 8
2 6 0 − 8
1 3 0 − 4 0
x³ 3x² − 4
By the synthetic division, the correct values to replace will be 2, 6, 0, and − 8 and the quotient is x³ + 3x² − 4. Then the correct option is B.
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Justus has a flexible container that holds 200 milliliters of alr at a temperature of 300 kelvins and a pressure of 100 kilopascals. Justus wants to
decrease the volume of the alr inside the container to 100 milliliters.
He can do this either by changing the temperature to
kelvins or by changing the pressure to
kilopascals.
Answers
Answer:
See below ~
Step-by-step explanation:
Based on the Ideal Gas Equation,
V ∝ TV ∝ 1/PUsing T :
V₁/T₁ = V₂/T₂200/300 = 100/T₂T₂ = 100/200 x 300T₂ = 0.5 x 300T₂ = 150 KUsing P :
P₁V₁ = P₂V₂100 x 200 = P₂ x 100P₂ = 200 kPaHe can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.
Chen is given the graph below.
What type of graph is shown, and what is the growth factor?
linear function; growth factor of 2
linear function; growth factor of 4
exponential function; growth factor of 2
exponential function; growth factor of 4
Answers
in 2010 there were 3200 tigers in the wild in 2016 there were 3890 tigers what is the percentage increase. Give ur answer to the nearest whole number
Answers
A percentage is a way to describe a part of a whole. The percentage increase in the number of tigers is 21.56%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage change is given by the formula,
Percentage change = |(Intial Value - Final value)|/Initial Value × 100%
Percentage Change = |3200-3890|/3200 × 100% = 21.56%
Hence, the percentage increase in the number of tigers is 21.56%.
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The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.
Answers
By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.
How to find the length of side x?
In the image, we can see that the equilateral triangle can be divided into two right triangles.
If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.
Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:
[tex]x^2 + 2.5^2 = 5^2[/tex]
[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]
Then we conclude that side x measures (5/2)*√3 units.
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PLEASE I NEED YOUR HELP ASAP!!!!!
Answers
Answer:
7/2 ≤ x < 4
Step-by-step explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
__
Inequality solution5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictionsThe domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solutionTogether with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4
24. Use the intercepts to graph the equation.
Answers
Answer:
See below ~
Step-by-step explanation:
Finding x-intercept
Take y = 02x - 5(0) = 102x = 10x = 5x-intercept is at (5, 0)Finding y-intercept
Take x = 02(0) - 5y = 10-5y = 10y = -2y-intercept is at (0, -2)Graph (with points marked)
Step-by-step explanation:
[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]
when y=0,-2,2,-4,4
then x=5,10,0,15,-5,
The prism shown represents a storage bin for a barn. The dark face will be open to allow people to place items inside.
A net of a triangular prism. Face A is shaded.
Which face of the net represents the open face of the prism?
A
B
C
D
Answers
Answer:
its A
Step-by-step explanation:
question 1. write the product using exponents
Answers
Answer:
(- 0.9)³
Step-by-step explanation:
(- 0.9) × (- 0.9) × (- 0.9)
= (- 0.9)³
please solve for me. please be correct
Answers
x/12 = -4
=> x = -48
Hope it helps you.
The answer to x is -48. Hope this helps!
Please Help its a math problem !! see image attached below for more info
Answers
Answer:
g(x) = 2ˣ⁻¹ + 3
Step-by-step explanation:
f(x) = 2ˣ
Translated 1 unit right
Represented by (x - 1)f(x - 1) = 2ˣ⁻¹Translated 3 units up
Represented by adding 3g(x) = 2ˣ⁻¹ + 3Answer:
Well if its a translation on the x-axis the formula would be g(x) = -2×
Although Functions are not my strong suit
I hope i got this right!
What is the surface area of the
triangular prism shown?
Answers
Answer:
1120^2
Step-by-step explanation:
25x17=425
425+(8x25)=625
625+(8x15)=745
745+(15x25)=1120
somebody please help me on this.
Answers
P(odd)=1/2
P (<6)=5/8
Required probability of P(odd) and P (<6) = 1/2*5/8=5/16
In the diagram, the radius is 7 and tangent AB has length of 24. Determine the length of OA rounded to the nearest whole number
Answers
Given the radius r and the tangent line AB, the length of the line OA is 24 units
How to determine the length OA?The radius r and the tangent line AB meet at a right angle.
By Pythagoras theorem, we have:
AB² = OA² + r²
So, we have:
24² = OA² + 7²
Rewrite as:
OA² = 24² - 7²
Evaluate
OA² = 527
Take the square root of both sides
OA = 23
Hence, the length of OA is 24 units
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Korey is planning to open a comic book store. when the store opens, he plans to be the only employee. as the business grows, he will extend his hours of operations and hire additional employees as necessary. in korey’s business plan, this information should be included in the _____ component. a. financial analysis b. organizational plan c. executive summary d. implementation plan please select the best answer from the choices provided a b c d
Answers
The information about the how to open a comic book store should be included in the b. organizational plan.
What is organizational plan?An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.
Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.
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Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answers
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
Pa Brainless
1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?
Answers
Answer:
more than what i have
Step-by-step explanation: