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
777dan777 [17]
2 years ago
13

If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height, then find the ratio of the

curved surface areas of the new cylinder to that of the original cylinder.​
Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

<u>Given</u><u> </u><u>info:</u><u>-</u>If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height.

Find the ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder ?

<u>Explanation</u><u>:</u><u>-</u>

Let the radius of the right circular cylinder be r units

Let the radius of the right circular cylinder be h units

Curved Surface Area of the original right circular cylinder = 2πrh sq.units ----(i)

If the radius of the right circular cylinder is doubled then the radius of the new cylinder = 2r units

The height of the new right circular cylinder

= (1/4)×h units

⇛ h/4 units

Curved Surface Area of the new cylinder

= 2π(2r)(h/4) sq.units

⇛ 4πrh/4 sq.units

⇛ πrh sq.units --------(ii)

The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder

⇛ πrh : 2πrh

⇛ πrh / 2πrh

⇛ 1/2

⇛ 1:2

Therefore the ratio = 1:2

The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder is 1:2

You might be interested in
An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t
solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation =  \sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}

Suppose,

     X             X - Xbar       (X - Xbar)^{2}

     3              3 - 6 = -3         -3 * -3 = 9

     5              5 - 6 = -1          -1 * -1 = 1

     10            10 - 6 = 4          4 * 4 = 16

<em>Mean of above data, Xbar</em> = \frac{3+ 5+10}{3} = 6

<em>Standard Deviation of data </em>= \sqrt{\frac{26}{3-1} } = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

     X                X - Xbar           (X - Xbar)^{2}

 3*2 = 6        6 - 12 = -6         -6 * -6 = 36

 5*2 = 10       10 - 12 = -2       -2 * -2 = 4

10*2 =20      20 - 12 = 8         8 * 8 = 64

<em>Mean of new data, Xbar </em>= \frac{6+ 10+20}{3} = 12

<em>Standard Deviation of new data</em> = \sqrt{\frac{104}{3-1} } = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

  3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0
3 years ago
Does anyone know what the answer?
11111nata11111 [884]

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

5 0
3 years ago
Read 2 more answers
error uses 1/3 of wet dog food for his dog Muddy,each day. how many servings will he get from 5 cans of dog food.?
oksian1 [2.3K]
15 because 3 is one serving and multiplied by 5 servings is 25
6 0
3 years ago
Consider the figure below.<br><br><br><br> Find the value of x.
Flauer [41]

Answer:

x = 5

Step-by-step explanation:

When two straight lines intersect, four angles are formed.  The angles that are directly opposite of each other are equal.  Since the angles are equal set the values equal to each other and solve for x.

5x - 5 = 2x + 10

5x - 5 - 2x = 2x + 10 - 2x

3x - 5 = 10

3x - 5 + 5 = 10 + 5

3x = 15

3x/3 = 15/3

x = 5

6 0
3 years ago
Describe the graph of a quadratic function
maw [93]
So, given a quadratic function, y = ax2<span> + bx + c, when "a" is positive, the </span>parabola<span> opens upward and the vertex is the </span>minimum<span> value. On the other hand, if "a" is negative, the graph opens </span>downward<span> and the vertex is the </span>maximum<span> value. To put it in complicated terms. Or when A is positive the graph is shaped like a U but if A is negative the graph is an upside down U


</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • Rebeckah answered 42 of the 60 questions correctly on a test. Which method should she use to find the percent of questions she a
    14·2 answers
  • A board game that normally costs $30 is on sale for 25 percent off. What is the sale price for the game?
    11·2 answers
  • louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basem
    7·2 answers
  • PLEASE HELP I think is A or D
    8·1 answer
  • Joshua and his children went into a bakery and he bought $15 worth of donuts and cookies. Each donut costs $1.75 and each cookie
    12·2 answers
  • if the product of two positive fractions a and b is 15/56 find three paris of possible values for a and b
    9·1 answer
  • Which of the following represents an exponential function
    15·1 answer
  • Consider random samples of size 50 from a population with proportion 0.35.
    11·1 answer
  • If a plane flies at 560 km per hour, how long would it take to fly to Cape Town to Fast London? Round off to the nearest hour​
    5·1 answer
  • Angles H and F are corresponding angles<br> True or False?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!