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
Doss [256]
2 years ago
15

The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1

.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.​

Mathematics
1 answer:
marshall27 [118]2 years ago
4 0

Answer:

<h3><u>Cylinder</u></h3>

\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 6 cm
  • h = 18 cm

\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}

<h3><u>Cube</u></h3>

\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}

Given:

  • x = 8 cm

\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}

<h3><u>Volume available to be filled with water</u></h3>

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will <u>not</u> come over the top of the container.

You might be interested in
$20,000 for 14 years compounded at 8% semiannually results in how many periods
rjkz [21]

13 months at $1501.00 per month

3 0
3 years ago
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type pe
KATRIN_1 [288]

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

5 0
2 years ago
Read 2 more answers
What is the value of 5 in 43.245
zaharov [31]

Answer:

.005

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the system of equations. y = x2 + 7x - 5 y = 2x + 9
marissa [1.9K]

Answer:

(2, 13)

(-7, -5)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the systems of equations and analyze the graph where the 2 graphs intersects.

6 0
3 years ago
Read 2 more answers
Evaluate 0 × |-6|. ......
kupik [55]

Answer:

0

Step-by-step explanation:

Any value multiplied by zero equals zero , thus

0 × | - 6 | = 0

6 0
3 years ago
Other questions:
  • Which one is equivalent
    11·1 answer
  • What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]? and my answers are
    7·1 answer
  • The length of a rectangular garden is 7 meters longer than its width. if its perimeter is ( 12 x + 14) meters, find its length i
    14·1 answer
  • Whats the Square root of 13?
    14·2 answers
  • If x+y= 15, y+z=25, and x+z=20, what is the arithmetic mean of x,y, and z
    15·1 answer
  • How many seconds are in 100,000,000 minutes?
    14·2 answers
  • The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find
    12·1 answer
  • HELPPPPP I ONLY HAVE ONE ATTEMPT
    7·2 answers
  • What's the answer for 1/2 of 3/5?
    11·1 answer
  • What does this multiple by <br> 38 , 51 , 64 , 77 , 90
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!