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
umka2103 [35]
3 years ago
7

The cylinder below has a volume of 536.94 cubic inches. What is the radius of the cylinder? (Use 3.14 for π.)

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

We have been given volume of the cylinder which is 536.94 cubic inches. Now question says to find the radius of the cylinder.

Then we need to use formula of volume of cylinder which is given by :

Volume = \pi r^2 h

We see that there are three unknown values in the formula: {volume, radius-r, height-h}

So to find any one of them we must know other two values.

Volume is given but height is missing. So just for explanation i'm going to use height of the cylinder h= 19 inches

Now plug the value of volume and height in above formula

536.94 = \pi r^2 *19

536.94 = 3.14 r^2 *19

536.94 = 59.66r^2

\frac{536.94}{59.66} =r^2

9=r^2

take square root of both sides

3=r

Hence radius of the cylinder is 3 inches.

You might be interested in
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
Read 2 more answers
Pleaseeeeeeeee helppppppppp meeeeeeeeeee
Kay [80]

Answer:

77

Step-by-step explanation:

it is the thing ok

6 0
3 years ago
Evan washes two types of vehicles it takes him 30 minutes to wash a car and 40 minutes to wash a truck he charges $12 to wash a
a_sh-v [17]
There is no way that the amount of cars and trucks can evenly fit into the 270 minutes and $150. 
The closet i got was 
A) 6 trucks and 4 cars for $150 and 390 minutes
B) 2 trucks and 10 cars for $150 and 380 minutes 
C) 3 trucks and 5 cars for $105 and 270 minutes. 
7 0
2 years ago
Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

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

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
FIND THE SURFACE AREA
GarryVolchara [31]

Answer:

the top and bottom combined are 240 and one side is 1200, another side is 500 and another is 1250, so the surface area is 3190 cm

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Change 3648 to standard form​
    9·1 answer
  • Evaluate: (sec²37° -cot²53°)tan21°tan69°-sin51°cos49°-cos51°sin49°
    14·1 answer
  • For 10x² + 6 = 0, c= 6, a = _<br> _, and b =<br> (Type integers or decimals.)
    11·1 answer
  • James has $32 and earns $10 per week for his allowance
    8·2 answers
  • Please help me!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Chen wants to buy a model car and race track with his allowance. He has $30 to spend. The model car costs $8.50, and he will spe
    7·2 answers
  • In the figure below, find the angle measures
    5·1 answer
  • 3. What is the classification of the pair of angles shown?
    12·2 answers
  • Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get w
    5·1 answer
  • This table represents a relationship between x and y, where x is the independent variable.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!