1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olasank [31]
2 years ago
13

What is the exact volume of the cylinder. B= 6 in. H=6 in.

Mathematics
2 answers:
algol [13]2 years ago
8 0

Answer:

Exact volume is 216π in^3.

Step-by-step explanation:

If B is the radius of the base of the cylinder then the volume is:

V = πr^2h

= π * 6^2 * 6

= π*36*6

= 216π in^3.

ad-work [718]2 years ago
8 0

Answer:

volume = 216π in3

Step-by-step explanation:

You might be interested in
14% of 60 million gallons is how many gallons?
vichka [17]

Answer:

840,000,0

Step-by-step explanation:

3 0
2 years ago
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
(a) area of the shaded region<br>and<br>(b) perimeter of the shaded region
Anika [276]
A=24.56
Work circle= 3.14 times 4 Sq/4= 12.56
Trapezoid= 1/2 (4)(2+4)

B.16.75
OR 12.28+ Sq rt of 20
5 0
3 years ago
the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45%
AlexFokin [52]

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, x+y=30 (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

\frac{x}{5}+\frac{9y}{20}=10.5 (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.

6 0
3 years ago
The plans for a shed call for a rectangular floor with a perimeter of 204 ft. The length is two times the width. Find the length
Harlamova29_29 [7]
A-length
b-width
perimeter of rectangular floor: 2a+2b=204
<span>The length is two times the width: a=2b
</span>2a + 2b = 204
2*2b + 2b = 204
6b = 204|:6
b = 34
a=2b=2*34=68

a=68->length
b=34->width
8 0
3 years ago
Read 2 more answers
Other questions:
  • The radius of a car wheel is 12 inches. How far will the car travel and 15 revolutions of the wheel?
    12·1 answer
  • Is 2 a factor of 72?
    9·1 answer
  • Multiplying binomials help please (10 points)
    10·2 answers
  • Jacket is 125.000 tax is 5.5%
    5·2 answers
  • What subsets are of 64
    5·1 answer
  • Which of these data sets is symmetrical?
    10·1 answer
  • Please help me out with this!! :)
    8·2 answers
  • I only need help with A.
    8·1 answer
  • 17 points! pls help with this (maybe send a pic of a graph too or explain where to put the dots) :))
    12·1 answer
  • 204.6 is what percent of 125? Round to the nearest tenth.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!