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
Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1
solong [7]

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

Answer:  \textsf{(1, 1) is NOT a solution of the inequality}

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

Given:  y \le-3x + 1

Find:  \textsf{Determine if (1, 1) is a solution of the inequality}

Solution:  In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

<u>Plug in the values</u>

  • y \le-3x + 1
  • 1 \le-3(1) + 1

<u>Simplify</u>

  • 1 \le-3 + 1
  • 1 \le-2

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

3 0
1 year ago
The marketing department of a sports supply store wants to estimate the percentage of adults in the town who belong to a gym.
velikii [3]
A) If you only sample people in a sports supply store, your sample will be biased.  People in a sports supply store are more likely to be people that belong to a gym.
B) While it does not have necessarily the same amount of bias as sampling people in the sports supply store, people that go to a park are generally more likely to be people that exercise or have a gym membership.
C) Taking a random sample of people in town is a good way to get a non-biased sample.  They are not necessarily predisposed to answer your question one way or another.
D) For the same reason as choice A, this is a biased sample.

C is the best choice.
4 0
3 years ago
Pleas help me (and pls don't ban my question this time Brainly)
Evgesh-ka [11]

Answer:

d = 7.2

Step-by-step explanation:

12 + d = -4.8

subtract 12 from both sides and you get

d = 7.2

5 0
2 years ago
Read 2 more answers
Brenda throws a dart at this square-shaped target:
Klio2033 [76]

Answer: See below

Step-by-step explanation:

<u>Area of the square</u>  = l*w = 11*11 = 121  

<u>Area of the circle</u>  = pi r^2 = pi*1^2 =  3.142

<u>Part A</u>

P(hitting the circle) = 3.142 / 121  =  0.026 which is closer to 0.

<u>Part B</u>

P(hitting the outside portion)  = 1 - 0.026 = 0.974 which is closer to 1.  

4 0
2 years ago
Read 2 more answers
Write a word problem that you can solve using multiples to estimate the quotient. Include a solution.
Lilit [14]

Answer:

Word problem based that can be solved using multiples to estimate the quotient:

Melissa made 326 cupcakes. She packed four cupcakes into each box. How many boxes of cupcakes did she pack? How many cupcakes were left unpacked?


3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the average value have of the function h on the given interval. h(u) = (15 − 10u)−1, [−1, 1]
    7·1 answer
  • What is the value of f(x)=-3.25x 22.41 at x=-4.2
    5·1 answer
  • The quotient of 49 and d increased by the product of k and f
    15·1 answer
  • Write the data set represented by the stem-and-leaf plot
    9·1 answer
  • PLZ HELP ME PLZ ASAP!!!!!
    9·1 answer
  • PLEASE HELP!!!
    10·2 answers
  • A number is at most 0 and greater then -10 the least possible integer value of the number is
    11·2 answers
  • Which is higher? 16 tons or 32,000 pounds?
    5·2 answers
  • Solved Thanks,ghjggjjjkk
    13·1 answer
  • Find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!