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
zmey [24]
3 years ago
11

A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i

t into a cone-shaped candle that is 5 centimeter wide at the base and 25 centimeter tall. Does the candle use all the paraffin from the original block?justify your reasoning
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is  

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

= \frac{22 \times 2.5^{2} \times 25 }{3 \times 7}

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

You might be interested in
(-2+4i)+(3-9i)<br> Pls i need this today
kumpel [21]

Answer:

1 - 5i

Step-by-step explanation:

(-2 + 4i) + ( 3 -9i) = -2 + 4i + 3 - 9i

                          = -2 + 3 + 4i - 9i

                           = 1 - 5i

7 0
3 years ago
Read 2 more answers
I've been working on this for 2+ hours, so frustrated, my last tutor got it wrong too.
disa [49]

Answer:

20

Step-by-step explanation:

sin(28)       sin(x)

---------- =  -----------

   7               5

sin(28)* 5 = 7sin(x)

---------------------------

             7

sin(28) * 5

---------------- = sin(x)

       7

You have to seperate sin from (x). When you do that, it becomes inverse (sin^-1).

              sin(28) * 5

 sin^-1 (------------------)  = x

                    7

Imput that into you calculator, and you should get 19.59302173 (20 to the nearest degree)

Hope this helps.

6 0
3 years ago
Tiffany is sending a package that may not exceed 16 pounds. the package contains books that weigh a total of 9 3/8 pounds. the o
babunello [35]
Yes Tiffany will be able to
5 0
3 years ago
An encyclopedia salesman earns a base pay of $23,900 per year and a commission of 11% of all sales made. If he sold $35,100 wort
ahrayia [7]
First, determine the amount that the encyclopedia salesman earned from commission by multiplying 11% by $35,100.

   Commission = ($35,100)(0.11)
    Commission = $3,861

Adding up the base pay of $23,900 his total earnings would be,

  Total earnings = $23,900 + $3,861 
  Total earnings = $27,761

<em>Answer: $27,761</em>
4 0
3 years ago
Read 2 more answers
The human heart circulates from 770,000 to 1,600,000 gallons of blood through a person body every year. Write an inequality to r
olchik [2.2K]

Answer:

2109.6 ≤ x ≤ 4383.56

Step-by-step explanation:

It is given that, there are 770000 to 1600000 gallons of blood circulation by the heart through a person's body every year.

Now, a year contains 365 days.

So, the human heart circulates from (770000/365) =2109.6 (Approximate) to (1600000/365) =4383.56 (Approximate) gallons of blood every day through a person body.

Hence, the inequality can be written in terms of x as,  

2109.6 ≤ x ≤ 4383.56,

where x is the number of gallons of blood that is circulated by the heart through the body in a day. (Answer)

6 0
3 years ago
Other questions:
  • Is 2.82842712475 a rational number
    13·1 answer
  • You are making a welding fixture and must cut down a length of copper tubing from 15 1/8 inches to 8 3/4 inches. If the leftover
    12·1 answer
  • Expand.<br> Your answer should be a polynomial in standard form.<br> (2 + 1) (2 + 8) =
    8·1 answer
  • Evaluate the given algebraic expression for x = 7 and y = 3.
    5·2 answers
  • 5(2x^2-6x) - (4x^2-3x)
    11·1 answer
  • 1<br> Round 47 to the nearest 10.<br> 2<br> 3<br> 4<br> 5
    7·2 answers
  • (HELP FAST )What is the solution to this system of equations? *
    12·1 answer
  • Horatio has a box that is 6 units long, 3 units wide, and 2 units tall.
    12·2 answers
  • The 7th term of an A.p is -4. If the common difference is-5, find the 6th term​
    7·1 answer
  • In the united states 13 out of every 20 cans are recycled
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!