Answers
Answer:
[tex]h=\frac{15.625}{pi}[/tex]
h ~ 4.974
Step-by-step explanation:
The formula for the volume of a cylinder is;
[tex](pi)(r^{2})(h)=V[/tex]
Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]
[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.
[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.
[tex]V[/tex] represents the volume, in other words, the space that the object takes up.
In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.
The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.
To solve this problem, one will substitute in the given information and solve for the height using inverse operations.
[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]
Related Questions
a student has a 73% of being let out of class late. if he leaves class late. if he leaves class late, there is a 23% chance that he will miss his train. what is the probability that he gets out of class late and misses the train?
Answers
Answer:
16.79 %
Step-by-step explanation:
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Martin drew a triangle. Its sides were 3 cm, 4 cm, and 5 cm.
It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew.
Martins triangle is —- and ——.
Answer= Martins triangle is a right triangle and a scalene triangle.
Answers
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?
Answers
Answer:
14.5
Step-by-step explanation:
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)
10 + (6)2 / 4 * (1.5)
10 + 12 / 4 * 1.5
10 + 3 * 1.5
10 + 4.5
14.5
Answer:
20.5
Step-by-step explanation:
10 + 12 ÷ 4 x 7/2
10 + 3 x 7/2
10 + 21/2
10 + 10.5
20.5
What is the missing length?
Answers
Answer:
as it is rectangular in shape. so the area of the rectangle =length *breadth =5*x=40
x=40/5=8metres
Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?
Answers
Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
1. Emily bicycle wheel had a diameter of 18 inches.
If the wheel makes 10 revolutions, approximately how far will the
bicycle have to travel? Round your answer correct to the nearest
whole number.
Answers
Question 4 (1 point)
The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the
organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest
foot.
Answers
Answer:
Radius of park r = 282.04 ft (Approx)
Step-by-step explanation:
Given:
Number of people = 50,000
Each person needs area = 5 ft²
Park's is in shape of circle
Find:
Radius of park r
Computation:
Total area required = 50,000 x 5
Total area required = 250,000 ft²
Area of circular park = Total area required
πr² = 250,000
(22/7)r² = 250,000
r² = 79545.4545
r = 282.04 ft
Radius of park r = 282.04 ft (Approx)
In circle o, which term correctly identifies line XY?
Аtangent
B chord
с secant
D diameter
Answers
Answer:
secant
Step-by-step explanation:
The equation p=8.65h gives the amount p (in dollars) of pay a clerk receives for working h(hours)
Answers
Answer:
the clerk will make $8.65 an hour
Step-by-step explanation:
Answer:
P is the dependent variable, H is the independent variable
Step-by-step explanation:
A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)
Answers
12*48=576
576/128=4.5
4.5 gallons
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,
Rate = 48 / 5 fl oz per minute
We know that 1 gal = 128 fl oz, then we have
Rate = (48 / 128) / (5 / 60)
Rate = (48 x 60) / (128 x 5)
Rate = 2880 / 640
Rate = 4.5 gallons per hour
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ2
True or false: f(x) is a function.
4
8
1
12
f(x)
Answers
i suck at fractions..............................
Answers
what is the common difference of the arithmetic sequence -7,-4x,-x,2x,5x
Help asap please
Answers
Answer:
-7 — -4=-3
so the common diff.
-3.
Step-by-step explanation:
hopr helps
Suppose that 14 inches of the wire cost 42 cent. At the same rate, how much ( in cent) will 7 inches, of wire cost
Answers
Answer:
21 cents
Step-by-step explanation:
All you have to do is divide 42/2
Becuase 14 is 7 doubled
it's a ven dyagram question pls help
Answers
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Jaclyn paid $620 to stay at a hotel. She paid $124 per
night for each of two rooms. How many nights, n, did
Jaclyn stay at the hotel?
Answers
620/248 = 248n/248
n = 2.5 nights
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he
has 7 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 23 left over. How many
chairs does Liam have?
Answers
Answer:
liam has 44 chairs with him
Answer:
liam has 71 chairs
hope it helps you
6x times (-2y)
Urgent please send solution
Answers
Answer:
_2y6x
Step-by-step explanation:
this is the answer
I hope it will helps you
Use the function f(x)=3 sin(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.
Answers
Find the slope Bb bnbn
Answers
Answer:
don't understand
Step-by-step explanation:
Answer:
???? is there more information?
-3x>18
(not in high school in middle school)
Answers
Answer:
x<-6
Step-by-step explanation:
-3x>18
Divide by -3, flip the sign since dividing by a negative.
x<-6
Answer:
x < -6
Step-by-step explanation:
A polygon has perimeter 12 units. It is dilated with a scale factor of 3/4. What is the
perimeter of its image?
A. 9 units
B. 12 units
C. 16 units
Answers
—————
With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.
Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
So, 3/4 = Dimensions of the new shape/12
= 3/4 × 12
= 3 × 3
= 9 units
With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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Tiffany earns an annual income of $ 55 , 000 . After she pays taxes, her take-home pay is $ 41 , 800 . Tiffany gives 5 % of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8 % . How much money did Tiffany's investment earn in the stock market?
Answers
Answer:
1678.95
Step-by-step explanation:
The difference between 8 and 3
times a number is 29
Answers
Answer:
5.8
Step-by-step explanation:
8 - 3 = 5
29/5 = 5.8
The difference times a number is in parenthesis and if it needs to be multiplied, use x as a variable and make it equal to 29
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
Answers
solve for x 4x - 3 = 6x + 2 ?
Answers
Answer:
x = -5/2
Step-by-step explanation:
PLZ HELP I NEED THIS DONE IN A FEW HOURS
Answers
Plz help I have to turn it it by midnight!!!!!
Answers
Step-by-step explanation:
The perimeter of a polygon is the sum of all of the polygon's sides. Here, a rectangle has 4 sides:
Perimeter of Rectangle
= 2 + (4x - 3) + 2 + (4x - 3)
= (8x - 2)cm.
Answer: 8x-2 cm
Step-by-step explanation:
To find the perimeter of the rectangle, add the length of all sides together.
-----------------------------------------------------------------------------------------------------
Given
(2)+(4x-3)+(2)+(4x-3)
Expand parenthesis
2+4x-3+2+4x-3
Put like terms together
(4x+4x)+(2-3+2-3)
Combine like terms
8x-2
Hope this helps!! :)
Please let me know if you have any questions
Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answers
9514 1404 393
Answer:
x = 20, or 125
Step-by-step explanation:
We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.
__
The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.
x° = 90° -70°
x = 20
__
If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...
x° = 180° -(180° -70°)/2 = 90° +70°/2
x = 125
Put in ascending order 0.32, -1.9, square root of 5, 2 pi, 2/3
Answers
Answer:
-1.9, 0.32, 2/3, sqrt5, 2pi
Step-by-step explanation:
