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
pickupchik [31]
4 years ago
8

The surface area of a cylinder is 408.2 square feet. The area of one of the bases is 78.5 square feet. Find the height of the cy

linder. Use 3.14 for π.
Mathematics
1 answer:
Phantasy [73]4 years ago
6 0

Answer: The height of the cylinder is 8 feet.

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

The area of one of the bases is 78.5 square feet. This means that

78.5 = 3.14 × r²

r² = 78.5/3.14 = 25

r = √25 = 5

The formula for determining the surface area of a cylinder is expressed as

Surface area = 2πr² + 2πrh

The surface area of a cylinder is 408.2 square feet. Therefore,

408.2 = 2 × 3.14 × 5² + 2× 3.14 × 5 × h

408.2 = 157 + 31.4h

31.4h = 408.2 - 157

31.4h = 251.2

h = 251.2/31.4

h = 8 feet

You might be interested in
Un11Mid
zaharov [31]
Hello!

You draw a table or write this out

If you pick vanilla you can get 4 different fruits

That is 4 different yogurts

If you pick chocolate you can choose 4 different fruits

Same for strawberry

So there are 12 different combinations

The answer is 12

Hope this helps!
5 0
3 years ago
Which numbers are written in scientific notation? Check all that apply.
____ [38]

Answer:

2.7 \times 10^{ - 3}

6.1 \times 10^{5}

9.582 \times 10^{6}

Step-by-step explanation:

-

4 0
3 years ago
What is the value of this expression 14−3? 164 112 12 64
Firlakuza [10]

Answer:

11

Step-by-step explanation:

14-3 = 11

you have 14 apples and you eat 3 of them. wow! now you have 11 apples!

4 0
3 years ago
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
5.7y-5.2=y/2.5 how to solve
11Alexandr11 [23.1K]

5.7y-5.2=y/2.5

Add 5.2 to both sides:

5.7y = y/2.5 + 5.2

y/2.5 = 0.4y

5.7y = 0.4y + 5.2

Subtract 0.4y from both sides:

5.3y = 5.2

Divide both sides by 5.3:

y = 5.2/5.3

y = 0.98113

3 0
2 years ago
Read 2 more answers
Other questions:
  • A researcher believes that 12% of a simple random sample of adults will be able to identify a Toyota Scion by brand and model na
    10·1 answer
  • 1. 12 + -8= cómo l resuelvo?
    12·1 answer
  • If a person drives 390 miles at an average of 40 miles per hour, then their distance d from the destination (in miles) is a func
    5·2 answers
  • 5. What is the area of a rectangle with<br> length1/12 foot and 3/4 width foot?
    15·2 answers
  • 15 is divisible by 75 true or false ? need it right now :)
    12·2 answers
  • Which of the following is equivalent to: 6 - 2x &gt; 3(4x - 2)?
    8·1 answer
  • Look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
    7·2 answers
  • What is the equation of the function shown in the table?
    9·1 answer
  • I REALLY NEED HELP!!!
    11·2 answers
  • In the triangle XYZ, the measure of angle X is 68 , XY= 2.5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!