A right cylinder has a diameter of 30 mm and a height of 30 mm, as shown.What is the volume of the cylinder?
Answers
Fortunately, the question includes all the information that's needed to answer it,
so I don't need to see the picture.
The volume of a cylinder is (pi) x (radius)² x (height) .
Radius = 1/2 of the diameter = 15 mm
Volume = (pi) x (15 mm)² x (30 mm) = 6,750 pi mm³ = 21,205.75 mm³ .
That's a correct answer, but the number is slightly awkward and inconvenient. Let's
change it to a bigger unit, so the number will be smaller and easier to carry around.
Remember that 10 mm = 1 cm
So (10 mm)³ = 1,000 mm³ = 1 cm³
and 21,205.75 mm³ = 21.20575 cm³
Answer:
Step-by-step explanation:
Related Questions
Find the least common multiple of 7 3 2
Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)
1.(02.01)Solve -4(x + 1) – 3 = -3(x – 4). (1 point)O-19192.
A number, n, is added to 15 less than 3 times itself. The result is 101. Which of the following can be an equation can be used to find the value of n?a.n + (3n - 15) = 101 b.4n - 15 = 101
Answers
Answer:
One point
Step-by-step explanation:
Given information: line d intersects plane f.
Plane: In mathematics, a flat, 2D surface that extends infinitely far is know as plane.
Line: A line of infinite number of points that extends infinitely in two directions is know as line.
In 3D, a line can be parallel to the plane, lie on the plane and intersect then plane.
(a) If line is parallel, then no point on the line lie on the plane.
(b) If line is on the plane, then infinite points on the line also lie on the plane.
(c) If line intersects plane, then only one point on the line also lie on the plane that is point of intersection.
It is given that line d intersects plane f.
If line d intersects plane f, then only 1 one point on line d also lie on plane f.
ticket sales that day. How many adults visited the museum?
A. 26
B. 33
C. 57
D. 64
Answers
Answer:
64 adult tickets were sold
Step-by-step explanation:
Let a = adult tickets sold
c = child tickets sold
a+c = 90 since there were 90 tickets sold
12a+7c = 950 since the amount of money collect is 950
c = 90-a
Substitute this into the second equation
12a +7( 90-a) = 950
Distribute
12a + 630-7a = 950
Combine like terms
5a +630 = 950
Subtract 630 from each side
5a = 950-630
5a = 320
Divide by 5
5a/5 = 320/5
a =64
64 adult tickets were sold
Answers
Answer:
y = 7x - 4
Step-by-step explanation:
-4 + 7x = y and y = 7x - 4 are the same thing, there ya go.
Answers
Answer:
100
Step-by-step explanation:
First, write out the equation
y = 24x + 4
Then plug in x = 4 to solve for y
y = 24x + 4
y = (24)(4) + 4
y = 100
Answers
Answer:
93
Step-by-step explanation:
The average is calculated as
average =
On 3 quizzes
= 73 ( multiply both sides by 3 )
sum = 219
On 4 quizzes, letting x be the score on fourth test
= 78 ( multiply both sides by 4 )
sum + x = 312 , that is
219 + x = 312 ( subtract 219 from both sides )
x = 93
She must score 93 on the next quiz
Answers
Answer:
Step-by-step explanation:
I believe you're actually looking for their respective rates. If A travels directly west and B travels directly north, and the distance between them is 30 miles, what we have is a right triangle situation. The hypotenuse of the triangle is 30. If the distance an object travels at a certain rate for given time is d = rt, then for B, our formula for distance is d = 2r (since the time each traveled is 2 hours). A traveled 3 miles per hour faster, so the formula for distance for A is d = (r + 3)2. Again, each traveled for 2 hours, so t = 2. Distributing we get that d = 2r + 6. Now that we have each expression for A and B, we use them in Pythagorean's Theorem to find the only unknown we have which is r. That's why I said in the beginning that I believe what you're actually looking for is the rate that each traveled. Our equation is:
and
and
Putting everything on one side and setting the quadratic equal to 0 to factor, we get
You can factor out an 8 to make the numbers a bit smaller:
Factor to get
8(r - 9)(r + 12)=0
That means, by the Zero Product Property, that 8 = 0, r - 9 = 0, or r + 12 = 0. We all know that 8 doesn't = 0, so forget that one!! If r - 9 = 0, then r = 9. If r + 12 = 0. then r = -12. We all know that rate cannot be negative (velocity can, but we are not using vector math here), so we discount rate as -12. That means that r = 9. B's rate is 9 then and A's rate is 12. There you go!