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
Greeley [361]
3 years ago
15

Please help me with this question!

Mathematics
2 answers:
Rasek [7]3 years ago
5 0

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

guapka [62]3 years ago
4 0

Answer:

<h2>87.97 packs</h2>

Step-by-step explanation:

 This problem bothers on the mensuration of solid shapes, a cone

the expression for the volume of a cone is

v=\frac{1}{3} \pi r^2h

Given data

height h= 28cM

radius r= 9cm

substituting the data the data into the expression for the volume we can solve for the volume

v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\

we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm

the volume is = l^3= 3^3= 27cm^3\\

now the volume of a pack is 27cm^3, hence the amount of packs needed to fill the cone is calculated as,

=\frac{2375.35}{27}\\ = 87.97 packs

You might be interested in
Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpet's King's installation price $50 but th
Ymorist [56]
At 10 square yards, both of the prices would be at $180
4 0
3 years ago
I need help or explain this pleas
vovikov84 [41]

Answer:

7z

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Write A expression for increased by 23
Akimi4 [234]

Answer:

5+23

Step-by-step explanation:

increased by is another word for add

7 0
3 years ago
Read 2 more answers
Lucy wants to be exempt from her semester exam. In order for that to happen, she has to average an 85 over 3 test grades. Her fi
anastassius [24]

Answer:

<em>Grades to be scored in 3rd exam = 88</em>

Step-by-step explanation:

Given that average of 3 numbers is 85.

First two numbers are 81 and 86.

To find:

3rd number so that average is 85

Solution:

Let the third number = x

Formula for average is:

Average = \dfrac{Sum\ of\ numbers}{Total\ count\ of\ numbers}

Here, sum of numbers = 81+86+x =167+x

Total count of numbers = 3

85 = \dfrac{167+x}{3}\\\Rightarrow x=255-167\\\Rightarrow \bold{x=88}

<em>Grades to be scored in 3rd exam = 88</em>

8 0
3 years ago
Pencil cores are glued between slabs of cedar to make a pencil sand which. A total of 52,500 pencil sandwiches are made over 5 d
raketka [301]

Answer:

10,500

Step-by-step explanation:

You must divide 52,500 by 5.

5 goes into the 5 in 52,500 one time. 5-5 is 0. 5 doesn't go into 2 so put a 0. 5 goes into 25 five times. 25-25 is 0. 5 goes into 5 one time. subtract and add the zeros at end. And you get 10,500

8 0
3 years ago
Other questions:
  • Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m
    7·2 answers
  • 5. This graph illustrates the solution to which inequality?
    6·1 answer
  • In triangle abc, angle A is the right angle. What is the value of y?
    6·2 answers
  • What is the property of (20×18) × 5
    9·2 answers
  • Y=-2x+4 y=6x+12 substitution method
    6·1 answer
  • Help pleasseeeee ! 15 points<br><br> the answers are<br> (-1,-5)<br> (0,-3)<br> (4,5)<br> (9,15)
    15·2 answers
  • The following equation is often referred to as Euler's Formula; e^pii+1=0 Use what you know about complex numbers to show that t
    9·1 answer
  • ??????????????????????????
    10·2 answers
  • F(x) = 2x - 4<br> find f( 5 )
    6·2 answers
  • ASAP please it’s very important
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!