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
inysia [295]
3 years ago
15

The iron cube of side 42 com has a hole of diameter 14cm

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

Step-by-step explanation:

Total surface of the cube = 6a²

                                          = 6 * 42 * 42

                                          = 10584 cm²

Hole that is drilled out, will make a cylinder shape in the middle of the cube

Volume  of iron in the cube = Volume of cube  - volume of cylinder

Volume of cube = a³

                          = 42 * 42 * 42

                         = 74088 cm³

Cylinder:

r = 14/2 = 7 cm

h = sideof the cube = 42 cm

Volume = πr²h

            =\frac{22}{7}*7*7*42\\\\=22*7*7*6

           = 6468 cm³

Volume  of iron in the cube = Volume of cube  - volume of cylinder

                                             = 74088 - 6468

                                             = 67620 cm³

You might be interested in
Find a counter example to following bad definition: a square has four right angles
Schach [20]

a flat figure with 4 equal straight sides and four right angles

5 0
3 years ago
Read 2 more answers
Bill plans to buy school supplies and the following equation represents what he bought.
iren2701 [21]

Answer:

1. x = 8

2. y = 1/2

Step-by-step explanation:

1. Plug the function

5x + 20(0.50) = 50

= 5x + 10 = 50

Subtract 10 from both side

= 5x = 40

Divide 5 on both sides

= x = 8

2. Plug in the function

5(8) + 20y = 50

= 40 + 20y = 50

Subtract 40 on both sides

= 20y = 10

Divide 20 both sides

= y = 10/20 | 1/2

6 0
2 years ago
Read 2 more answers
A house worth £80,000 in January 2012 is set to decrease in value by 7% per year.
kramer
The answer would be 59,844 or around that number
7 0
3 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
Read 2 more answers
Can u please help me and show me how u got that answers.
GREYUIT [131]
C. 20% because 15 goes into 75 5 times, and to find the percentage you would divide 100 by that number, 5, to get 20. So he has gone 20%
6 0
2 years ago
Read 2 more answers
Other questions:
  • Please find the area
    14·1 answer
  • P(at least 20 | prime number)
    14·1 answer
  • Solve 2x - 1 &lt; 7 and 5x + 3 &lt; 3. {x | x &lt; 0} {x | x &lt; 4} {x | 0 &lt; x &lt; 4}
    8·2 answers
  • Jane works twice as fast as her daughter Anna. If it takes 15 minutes to clean the kitchen together, how long would it take Anna
    15·1 answer
  • The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is betwe
    13·2 answers
  • Select the GCF of these numbers.<br><br> 48 and 60
    12·1 answer
  • What are 3 equivalent ratios of 18:4
    9·2 answers
  • The gift wrapping store has 77 inches of ribbon. It takes 8 inches of ribbon to make a bow, how many bows can they make
    14·1 answer
  • A pediatrician has smallpox vaccines numbered 1,2,3, chickenpox vaccines numbered 1,2,3,4,5,6, and influenza vaccines numbered 1
    15·1 answer
  • Help pls I don’t rlly understand
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!