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
Elden [556K]
3 years ago
15

Arrange the cones in order from lease volume to greatest volume

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

Volume of the cone in ascending order.

V_{2}=270\pi\ units^{3}

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let V_{2}. V_{3}. and\  V_{4}. be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

d_{1} = 20\ and\ h_{1}=12

d_{2} = 18\ and\ h_{2}=10

r_{3} = 10\ and\ h_{3}=9

r_{4} = 11\ and\ h_{14}=9

Arrange the cones in order from lease volume to greatest volume.

Solution:

The volume of the cone is given below.

V=\pi r^{2} \frac{h}{3}----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

The volume of the cone for d_{1} = 20\ and\ h_{1}=12

r_{1} = \frac{d_{1}}{2}

r_{1} = \frac{20}{2}=10\ units

V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}

V_{1}=\pi (10)^{2} \frac{12}{3}

V_{1}=\pi\times 100\times 4

V_{1}=400\pi\ units^{3}

Similarly, for volume of the cone for d_{2} = 18\ and\ h_{2}=10

r_{2} = \frac{d_{2}}{2}

r_{2} = \frac{18}{2}=9\ units

V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}

V_{2}=\pi (9)^{2} \frac{10}{3}

V_{2}=\pi\times 81\times \frac{10}{3}

V_{2}=\pi\times 27\times 10

V_{2}=270\pi\ units^{3}

Similarly, for volume of the cone for r_{3} = 10\ and\ h_{3}=9

V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}

V_{3}=\pi (10)^{2} \frac{9}{3}

V_{3}=\pi\times 100\times 3

V_{3}=\pi\times 300

V_{3}=300\pi\ units^{3}

Similarly, for volume of the cone for r_{4} = 11\ and\ h_{4}=9

V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}

V_{4}=\pi (11)^{2} \frac{9}{3}

V_{4}=\pi\times 121\times 3

V_{4}=\pi\times 363

V_{4}=363\pi\ units^{3}

So, the volume of the cone in ascending order.

V_{2}=270\pi\ units^{3}

You might be interested in
2/3+q=1/2 what is Q
JulsSmile [24]

Q=rational number=1/6

2/3+q=1/2=1/6

4 0
3 years ago
Dom josin is paid 18 as a pastry chef for regular 35hours week over rate is 1.5 times regular hourly rate he work 5 overtime hou
Nonamiya [84]

35 times 18 is $630 and 5 hours overtime  times 27 is $135 so you add the 630 and 135 Dom's pay is $765.00

5 0
3 years ago
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
Gwar [14]

Answer: The required point is A(6, 3) in the attached graph.

Step-by-step explanation:  We are to find the point on the given graph that shows the price of 6 ounces of cheese.

The formula to be used is given by

y=x\div 2\\\\\Rightarrow y=\dfrac{x}{2}~~~~~~~~~~~~~~~~(i).

Given that,

when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.

when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.

when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.

Therefore, these points satisfy the given relation (i).

Hence, if x = 6, then from equation (i), we have

y=\dfrac{x}{2}=\dfrac{6}{2}=3.

Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.

8 0
3 years ago
Read 2 more answers
Pedro's goal is to have more than $1200 in savings in the next 12 months. He already has $480 saved and wants to save the same a
Leno4ka [110]
The answer to ur problem is c $60
8 0
3 years ago
Read 2 more answers
1) What radius of a circle is required to inscribe an equilateral triangle with an area of 15.588 in2 and an altitude of 5.196 i
Andrej [43]
We know that
 the distance from the centroid of the triangle to one of the vertices is the radius of the circle <span>required to inscribe an equilateral triangle.

[distance </span>centroid of the triangle to one of the vertices]=(2/3)*h
h=the <span>altitude  of the equilateral triangle-----> 5.196 in
so
</span>[distance centroid of the triangle to one of the vertices]=(2/3)*5.196
[distance centroid of the triangle to one of the vertices]=3.464 in----> 3.5 in

the radius is equal to the distance of the centroid of the triangle to one of the vertices
hence
the radius is 3.5 in

the answer is
the radius is 3.5 in

8 0
3 years ago
Read 2 more answers
Other questions:
  • Simon and Greg shared pencils in the ratio 7:5. If Simon gives away 30 pencils and Greg gets 30 more pencils, they will have the
    11·1 answer
  • Simplify the following: *<br> 1<br> (18x – 24)<br> 2x - 6<br> 3x - 4<br> 5x - 12<br> X-8<br> VA
    15·1 answer
  • I need this answered
    13·1 answer
  • A box contains 8 cups of raisins Marco needs 1/3 cup of raisins to make 1 bag of snacks mix how many bags of snack mix can Marco
    7·1 answer
  • Please help me answer this
    13·1 answer
  • Factorise<br>6d²e-3de²<br>​
    6·2 answers
  • Add 5 + (-8).<br><br> 13<br> -13<br> 3<br> -3
    15·2 answers
  • DUE IN 20 MINS
    15·2 answers
  • Sven deposited R3500 into a savings account where interest is compounded annually at 11.2% at the end of two years he withdrew R
    12·1 answer
  • Solve the system, enter the smallest x coordinate first
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!