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
hoa [83]
3 years ago
5

A cylinder has a volume of 384 cubic inches and a height of 8 inches, what is the radius

Mathematics
2 answers:
sammy [17]3 years ago
5 0

Answer:

3.91

Step-by-step explanation:

Triss [41]3 years ago
4 0
The answer is:  3.91 inches .
___________________________________________

Note:  Volume of cylinder: V = (base area) * (height);

in which: V = volume = 384 in.³ ;
              h = height = 8 in. ; 
              Base area = area of the base (that is; "circle") = π r² ;
                                         in which; "r" = radius; 
___________________________________________
Solve for "r" :
___________________________________________
 V = π r² * (8 in.) ; 

384 in.³ = (8 in.) * (π r²) ;
___________________________________________
Divide EACH SIDE of the equation by "8" ; 
___________________________________________
 (384 in.³) / 8 = [ (8 in.) * (π r²) in.] / 8 ; 
___________________________________________
 to get: 
___________________________________________
   48 in.³ = (π r²) in.² * in.   ;
___________________________________________
 ↔  (π r²) in.² * in. =  48 in.³  ;  
___________________________________________
Rewrite this equation; using "3.14" as an approximation for: π ;
__________________________________________________
 (3.14 * r²) in.² * in. =  48 in.³ 
_______________________________________
Divide EACH SIDE of the equation by:

"[(3.14)*(in.²)*(in.)]" ;  to isolate "r² " on one side of the equation; 
                                 (since we want to solve for "r") ;
_____________________________________________________
→ [(3.14 * r²) in.² * in.] / [(3.14)*(in.²)*(in.)]  = 48 in.³ / [(3.14)*(in.²)*(in.)] ; 
__________________________________________________
→ to get:   r² = 48/3.14 ;
________________________
      → r² = 15.2866242038216561 ;
_______________________________________
To solve for "r" (the radius; take the "positive square root" of EACH side of the equation:
__________________________________________________
     → +√(r²) = +√(15.2866242038216561)
__________________________________________________
     →  r = 3.9098112747064475286  ; round to 3.91 inches .
___________________________________________________
You might be interested in
!!!!!!!!!!!!!!!!!!!!
8_murik_8 [283]
Answer: 15 seconds; the number of seconds it took the ball to hit the ground.
8 0
3 years ago
Can someone help me with this one question?
kondor19780726 [428]

Answer:

no...

Step-by-step explanation:

3 0
3 years ago
Simplify (please help)
valkas [14]

Answer:

\frac{8x^{3}y^{6}  }{z^{3} }

Step-by-step explanation:

4 0
2 years ago
|3x| = 9<br> Variable please.
Lorico [155]

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

7 0
2 years ago
What is the slope of a line that is parallel to the line shown on the graph? A-4 B-1/4 C1/4 D4 
kicyunya [14]
Just take any two points from the graph. For example (4, -2) , (0, -3)                   Slope = (y2-y1) / (x2-x1) = -2-(-3) / 4-0 = 1/4








6 0
3 years ago
Read 2 more answers
Other questions:
  • When simplifying rational expressions, How is it similar to simplifying fractions?
    5·1 answer
  • The initial freshman class at a college is 10% smaller 1
    12·1 answer
  • Omar deposited $4000 into an account with 3.3% interest, compounded semiannually. Assuming that no withdrawals are made, how muc
    7·1 answer
  • A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
    11·2 answers
  • The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE state
    6·2 answers
  • January 30, 2019 was the coldest day in Minneapolis-St paul i’m over 20 years the lowest temperature recorded that day was -28f
    7·2 answers
  • What is an equation of the line that is perpendicular to -x+3y=9 and passes through the point (-3,2)
    14·1 answer
  • The length of a driveway is 18 yards what is it in feet?​
    13·2 answers
  • An arithmetic sequence is given below.
    7·2 answers
  • Set g is the set of positive integers divisible by 4, and set f is the set of perfect squares. list the first 5 elements of set
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!