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
nikklg [1K]
3 years ago
6

Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold. the smaller bottle is 15

cm in height and the larger bottle is 21 cm in height
what i have written is one mark out of 3

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
8 0

Answer:

1372ml

Step-by-step explanation:

21/15 = 1.4 = Linear Scale Factor

1.4^3=2.744 = Area Scale Factor

500 x 2.744 = 1372ml

tankabanditka [31]3 years ago
5 0

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

You might be interested in
Does (5, 6) satisfy the inequality 2x - 3y> 6?
butalik [34]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Identify the angles of rotational symmetry for the figure.
babunello [35]

Answer:

45 120 144 that the ones to pick

8 0
3 years ago
The radius of the wheel on a bike is 21 inches. If the wheel is revolving at 154 revolutions per minute, what is the linear spee
Bezzdna [24]

Answer:

The linear speed of the bike is 19.242 miles per hour.

Step-by-step explanation:

If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (v_{B}), measured in inches per second, is:

v_{B} = R\cdot \omega

Where:

R - Radius, measured in inches.

\omega - Angular speed, measured in radians per second.

Now, the angular speed must be converted from revolutions per minute into radians per second:

\omega = \left(154\,\frac{rev}{min} \right)\cdot \left(2\pi\,\frac{rad}{rev} \right)\cdot \left(\frac{1}{60}\,\frac{min}{s}  \right)

\omega \approx 16.127\,\frac{rad}{s}

The speed of the bike is: (R = 21\,in and \omega \approx 16.127\,\frac{rad}{s})

v_{B} = (21\,in)\cdot \left(16.127\,\frac{rad}{s} \right)

v_{B} = 338.667\,\frac{in}{s}

Lastly, the outcome is converted into miles per hour:

v_{B} = (338.667\,\frac{in}{s} )\cdot \left(3600\,\frac{s}{h} \right)\cdot \left(\frac{1}{63360}\,\frac{mi}{in}  \right)

v_{B} = 19.242\,\frac{mi}{h}

The linear speed of the bike is 19.242 miles per hour.

5 0
4 years ago
8 - 2x < 18 Which number line best represents the solution set for the inqeuality below
brilliants [131]

solution

here,8-2x < 18

- 2x < 18-8

- 2x <10

x <10÷ -2

x< -5

4 0
3 years ago
What is the area this figure?
fgiga [73]

Please attach an image , so I can answer?

3 0
3 years ago
Other questions:
  • Which are equivalent ratios to 7:13?
    12·2 answers
  • 7/8 - 2/5 simplest form
    12·1 answer
  • What is the answer to <br> 3d-12 d for 10
    7·1 answer
  • When you are making a three-point turn, the first things you must do are
    11·1 answer
  • Factor.
    8·1 answer
  • What is the range of the function shown in the graph below? Find the answer type and interval.
    11·1 answer
  • The mean monthly temperature for the year 1900 is 53.75. The Mean Absolute Deviation for the temperatures in 1900 is approximate
    11·1 answer
  • Ames has 268 cookies to put into bags. Each bag holds 8 cookies.
    6·1 answer
  • There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
    10·1 answer
  • How many vertices are there in the graph?..
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!