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
Kaylis [27]
2 years ago
15

What are the answer

Mathematics
1 answer:
TiliK225 [7]2 years ago
3 0

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)

TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

C) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

You might be interested in
Which expression can be used to detemine the reference for the angle, x, measuring 150 degree​
taurus [48]
Do you have an A B C it helps
4 0
3 years ago
An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th
Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09

(2)

As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.

The <em>z</em> value for α = 0.09 is,

<em>z</em> = 1.69

(3)

Compute the 91% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

     =3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0
2 years ago
7-4????????????????????
polet [3.4K]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the measure, in degree, of angle z ?
Jobisdone [24]

Answer:

55°

Step-by-step explanation:

if the middle is straight, then x+35°=90°

7 0
3 years ago
List the angles of triangle PQR from Smallest To largest
motikmotik
The third one is the smallest
5 0
3 years ago
Read 2 more answers
Other questions:
  • Will give brainlyest HELPP
    14·1 answer
  • This question is in "Real Numbers" Find: −24÷ 4 5
    15·2 answers
  • missy bought 4 bags of chocolates. each bag had 8 pieces of chocolate in it . after her kids ate 6 of the chocolate missy packed
    8·1 answer
  • Janice published a novel. Last month the book sold 1326 copies, earning Janice a total of $1579.76. This month the book sold 144
    14·1 answer
  • Write a exspession for 8 divided by d
    6·1 answer
  • Factor. Check by multiplying<br> 2a - 14 = ?
    11·2 answers
  • What is 23.41 rounded to the nearest integer<br><br> i am losr
    11·2 answers
  • Sammi designs a quilt composed of squares as shown what is the measure of angle z​
    12·1 answer
  • Ethan is observing an amusement park ride where the riders go around in a counterclockwise circular motion. The
    8·1 answer
  • Drag each statement to show whether it is true, based on the graph.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!