All categories

1 year ago

Solve for 100 points

Mathematics

2 answers:

lesya [120]1 year ago

5 0

Answer:

3:5
9:25
3:5
3:5
27:125
3:5

Step-by-step explanation:

Here it is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders .

So let us assume that ,

Radius of first cylinder be 3x and that of second be 5x .
Height of first cylinder be 3y and that of second be 5y .

Formulas to be used :-

Circumference :- The base of cylinder is circle . So ,

$\longrightarrow C = 2\pi r$

Surface Area :- The curved surface area is ,

$\longrightarrow S.A. = 2\pi rh$

Diameter :-

$\longrightarrow d = 2r$

Volume :-

$\longrightarrow Volume = \pi r^2h$

Now refer to the attachment for answer .

BaLLatris [955]1 year ago

3 0

Answer:

1. 3:5

2. 9:25

3. 3:5

4. 3:5

5. 27:125

6. 3:5

Step-by-step explanation:

It is given that the scale factor of two cylinders is 3:5 . And we need to find out the ratios of circumference , surface area , height , diameter , volume and radii of the cylinders.

You might be interested in

CAN SOMEBODY HELP PLS

Sophie [7]

$\frac{9}{ - j}$

5 0

2 years ago

Read 2 more answers

joel has 24 sports trophies. of the trophies, 1/8 are soccer trophies. how many soccer trophies does joel have?

hichkok12 [17]

Answer:

3 soccer trophies does Joel have

Step-by-step explanation:

As per the statement:

Joel has 24 sports trophies.

⇒Total sport trophies Joel have= 24

It is also given: of the trophies, 1/8 are soccer trophies

We have to find how many soccer trophies does Joel have.

$\text{Joel have soccer trophies} =\frac{1}{8} \cdot 24$

Simplify:

$\text{Joel have soccer trophies} =3$

Therefore, 3 soccer trophies does Joel have

3 0

3 years ago

Read 2 more answers

If (x, -3) is on the line described by f(x)=-x+8, what is the value of x

qwelly [4]

The value of x that the given point of the function is 11.

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:

a= the slope

b= the constant term that represents the y-intercept.

For the previous example: a=5 and b=3.

The question gives a point (x , -3) of a function f(x)= -x+8. Therefore, you can write

-3=-x+8

x=8+3

x=11

Thus, the x-coordinate is equal to 11.

Read more about the linear equations here:

brainly.com/question/2030026

#SPJ1

4 0

1 year ago

Here now and full points it’s right here

Marina CMI [18]

Step-by-step explanation:

Don't make the lines i drew i wanted to make it for u easier to read it

5 0

2 years ago

The volume of a spherical balloon is increasing at the constant rate of 8 cubic feet per minute. How fast is the radius incresin

OverLord2011 [107]

Answer:

Rate of increase of radius = 0.0064 ft/sec

Rate of increase of surface area = 1.61 $ft^2/sec$

Step-by-step explanation:

Given that:

Rate of change of volume of a spherical balloon = 8 cubic feet per minute

$\dfrac{dV}{dt} = 8 ft^3/min$

Radius, $r$ = 10 feet

To find:

The rate of change of radius at this moment and rate of change of surface area at this moment?

Solution:

First of all, let us have a look at the formula:

$1.\ V = \dfrac{4}{3}\pi r^3\\2.\ A =4\pi r^2$

Now, differentiating the volume and area, we get:

$\dfrac{dV}{dt} = \dfrac{4}{3}\times 3 \pi r^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dV}{dt} = 4 \pi r^2 \dfrac{dr}{dt}$

$\dfrac{dA}{dt} = 4\pi \times 2 r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\pi r \dfrac{dr}{dt}$

$\dfrac{dV}{dt} = 8 = 4\pi r^2 \dfrac{dr}{dt}\\\Rightarrow 8 = 4\times 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow 2 = 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dr}{dt} = 0.0064\ ft/sec$

$\dfrac{dA}{dt} = 8\times \pi \times r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\times 3.14 \times 10 \times 0.0064\\\Rightarrow \dfrac{dA}{dt} = \bold{1.61 \ ft^2/sec}$

7 0

2 years ago