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
insens350 [35]
3 years ago
10

A mug in the shape of a cylinder has a base of with a radius of 4 cm. how many milliliters of liquid does it hold if filled to a

height of 9cm?
(1 cm3 holds 1mL)​
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

v= 452.2 cm^3 or 452.2 mL

Step-by-step explanation:

v= pi(r)^2h

v=pi(4)^2(9)

v=452.2 cm^3

You might be interested in
50 POINTS!
Furkat [3]

Answer:

1.

a) 357 inches³ of water more would be required to fill the tank

b) Riley is not correct, the volume of the larger aquarium is 27

   times larger than the volume of the smaller on

c) Riley is not correct, the surface area of the larger aquarium is 9

   times the surface area of the smaller one

2.

a) There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) The surface area of the shipping box is 567 inches²

Step-by-step explanation:

1.

a) * Lets study the first aquarium:

- The formula for volume is V = l × w × h

∴ It is a rectangular box of dimensions 16 in , 8.5 in , 10.5 in

∴ Its volume = 16 × 8.5 × 10.5 = 1428 inches³

* The full capacity of this aquarium is 1428 inches³

- Riley noticed that it 3/4 full of water, then still can fill with

 1/4 to be full

- Why 1/4 because 1 - 3/4 = 1/4

∴ The volume of 1/4 the aquarium = 1/4 × 1428 = 357 inches³

* There are 357 inches³ of water more would be required to fill the tank

b) * Lets talk about the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their volumes will be (3 : 1)³

- Because we will multiply each dimension by 3 and they

  are 3 dimensions, that means 3 × 3 × 3 ⇒ 3³

∴ The ratio between their volumes = 27 : 1

∴ Riley is not correct because the volume of the larger aquarium is 27

   times larger than the volume of the smaller aquarium

c) * Similar for the surface area of the larger aquarium

- Each dimension will be triple to construct the larger aquarium

- That means we will multiply each dimension of the small aquarium by 3

- That means the ratio between each dimension in the larger

  aquarium to the smaller aquarium is 3 : 1

∴ The ratio between their surface area will be (3 : 1)²

- Because we will multiply each dimension by 3 and to get the

 surface area we multiply each two dimensions for the six faces

 and then add them

∴ The ratio between their surface area = 9 : 1

∴ Riley is not correct because the surface area of the larger aquarium

  is 9 times larger than the surface area of the smaller aquarium

2.

a) * Lets think about this situation

- We want to fill some office supplies boxes of side length

 4.5 inches inside the shipping box of dimensions 18 in , 9 in , 4.5 in

- That means the volume of the shipping box is how many times

 the volume of the office supplies box

∴ The number of office supplies boxes = the volume of shipping box ÷ the volume of the office supplies box

∵ the volume of shipping box = 18 × 9 × 4.5 = 729 inches³

∵ the volume of the office supplies box = 4.5 × 4.5 × 4.5 = 91.125 inches³

∴ The number of office supplies boxes = 729 ÷ 91.125 = 8 boxes

* There are 8 boxes of office supplies can be packed into

   the larger box for shipping

b) Look to the Net of the shipping box

- The net has 6 faces shaped rectangles

- Each two faces are congruent

- To find the surface area we will add all the areas of the 6 faces

- Two faces with dimensions 18 in and 9 in

∴ Their areas = 2 (18 × 9) = 324 inches²

- Two faces with dimensions 18 in and 4.5 in

∴ Their areas = 2 (18 × 4.5) = 162 inches²

- Two faces with dimensions 4.5 in and 9 in

∴ Their areas = 2 (4.5 × 9) = 81 inches²

∴ The total surface area = 324 + 162 + 81 = 567 inches²

* The surface area of the shipping box is 567 inches²

3 0
3 years ago
Find the measure of the exterior angle.
miss Akunina [59]

Answer:

120 degrees! (line) or 300.

Step-by-step explanation:

All lines are 180 degrees, this triangle is congruent, so all sides are 60 degrees. 180 minus 60 is 120.

If it's a measure of a 360 degree angle, using 2 lines from the triangle, then you take 60 away from 360. A circle formed with that angle at it's radius would be 300 degrees.

4 0
2 years ago
Read 2 more answers
A yard of fabric costs 22.99 how much will 2 feet costs
marshall27 [118]
\frac{22.99}{3ft} =  \frac{d}{2ft}  \\ \\  d=15.33
7 0
3 years ago
Read 2 more answers
Which of the followinkg is a rational number that is not an integer?<br> -2<br> -0.5<br> 0<br> 4
g100num [7]
It’s -0.5 because it an integer has to be whole number hope this helps :)
6 0
3 years ago
Carley’s progress from a 5-kilometer race is displayed in the graph below.
eduard

Answer:

35 minutes

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Can someone answer it thankyou:-) :-)
    8·1 answer
  • −4(w+1)=−24 SIMPLIFY PLEASE HELP ASAP
    8·2 answers
  • Jonathan’sparents told him that for every 5 hours of homework or reading he completes, hewill be able to play 3 hours of video g
    9·1 answer
  • Choose the symbol that correctly compares the fractions below . 1/5 ? 4/5
    5·2 answers
  • 65 POINTS PLS help
    10·2 answers
  • Find the slope of the following coordinate<br> points.<br> (4.25, 0) and (3.5, 3)
    15·1 answer
  • Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pe
    9·1 answer
  • Look at image for question​ please
    7·1 answer
  • What are m and b in the linear equation y= 5 + 1x​
    12·2 answers
  • I WANT SOLUTION AND EXPLANATION ANSWER IS GIVEN AT LAST!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!