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
Feliz [49]
2 years ago
7

As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1. 10.

If the cans are currently 12 cm tall, 6 cm in diameter, and have a volume of 339. 12 cm3, how much more will the new cans hold? Use 3. 14 for π and round your answer to the nearest hundredth. 112. 25 cm3 373. 03 cm3 451. 37 cm3 790. 49 cm3.
Mathematics
1 answer:
LiRa [457]2 years ago
4 0

The extra amount the new cans can hold is provided by: Option A: 112.25 cm³ approx.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = \pi r^2 h \: \rm unit^3

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

For the considered case, assuming the shape of <em>cans</em> is cylindrical, the dimension of old cans were:

  • Height of 12 cm,
  • and diameter of 6 cm.

Therefore, volume of an old can is:

V_{\text{old}} = \pi r^2 h = \pi (d/2)^2 h = \pi. (3)^2.(12) = 108\pi \: \rm cm^3

Since each dimension is increased by a multiple of 1.10, therefore, the new cans will have dimensions as:

  • Height of 12 \times 1.10 = 13.2 \: \rm cm
  • and diameter of 6 \times 1.10 = 6.6 \: \rm cm

Therefore, volume of a new can is:

V_{\text{new}} = \pi r^2 h = \pi (d/2)^2 h = \pi. (3.3)^2.(13.2) = 143.748\pi \: \rm cm^3

Therefore, the extra amount the each of the new cans can hold compared to old cans is the extra volume they have. It is evaluated as:

V_{\text{extra}} = V_{\text{new}} - V_{\text{old}} = (143.748- 108)\pi \approx 35.748 \times 3.14 \approx 112.25\: \rm cm^3

Thus, the extra amount the new cans can hold is provided by: Option A: 112.25 cm³ approx.

Learn more about volume of cylinder here:

brainly.com/question/12763699

You might be interested in
Im so confused ples help ;-;
AleksandrR [38]

Answer:

18

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Finn imagines 1 more row of nines to find the total area of 9 * 9 rectangle. explain how this could help him solve 9 * 9
Juliette [100K]
Im confused by the question. 

but i would say imagining nine rows of nine 

the area would be 81.

Hope this helps :)
6 0
3 years ago
Determine the solution for the equation.
Ilya [14]
Answer:
2^4=16
Hope i helped
6 0
2 years ago
Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.
kompoz [17]

For this case we must divide the following expression:

\frac {413} {129}

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

3 \frac {26} {129}

Verifying:

3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}

Answer:

3 \frac {26} {129}

5 0
3 years ago
1. 7+8-2 .
AnnZ [28]

Answer:

1. 13

2. 11

3. 10

4. 9

5. 12

6. 16

7. 14

8. 40

Step-by-step explanation:


8 0
3 years ago
Other questions:
  • A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the dist
    5·2 answers
  • . Simplify the expression. 4 + 18 ÷ 2 – 1
    6·1 answer
  • I WILL AWARD BRAINLIEST! PLEASE HELP ME!
    15·1 answer
  • A figure which is moved "6 units down and 2 units right" is an example of a A.reflection B.rotation C.dilation D.translation
    14·1 answer
  • What's 25% of $130,000
    7·1 answer
  • How do you solve 8 / 1/4
    15·1 answer
  • Simplify the equation 28st/-4t
    12·1 answer
  • What are the coordinates of the point on the directed line segment from (- 10, - 10) to (6, - 2) that partitions the segment int
    11·2 answers
  • Bill runs 400 meters to Andy's house,turns around,and runs 400 meters back home.what was bill displacement?
    12·1 answer
  • After a very successful year, Cheap-Rentals raised salaries by a scale factor of `\frac{11}{10\ }`. If Luan now makes $14.30 per
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!