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
Fred buys a video game disk for 4$. there was a discount of 20%. what is the sales price?
enyata [817]
The answer is this: $3.60

4 x 10 = 40 - 0.4 = 3.6 



4 0
3 years ago
Read 2 more answers
What is the least common denominator for 3/10 and 7/8?
Helen [10]
3/10 <7/8
Please my answer
6 0
3 years ago
Can someone help me with this?
Norma-Jean [14]

Answer:

the answer is d. ASA

BAC is congruent to DAC because its an angle bisector

AC is congruent to AC by the reflexive property of congruence

BCA is congruent to DCA because its a perpendicular bisector

4 0
3 years ago
Read 2 more answers
How many triangles can be formed with segments measuring 34 cm, 13 cm, and 38 cm? Select from the drop-down menu to correctly co
Lilit [14]

The triangle inequality theorem is not followed,  no triangle can be formed.

Triangles

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 34 cm, 13 cm, and 38 cm.

34cm + 13 cm = 47 cm > 38cm (theorem followed)

34 cm + 38 cm = 72 cm > 13 cm (theorem followed)

13 cm + 38 cm = 51 cm < 34 cm (theorem not followed)

Since the triangle inequality theorem is not followed,

Hence, no triangle can be formed.

To know more about triangles click the link given below.

brainly.com/question/9450761

7 0
2 years ago
Read 2 more answers
Is it a function and whats the domain and range<br> Picture below
marishachu [46]
No, because using the vertical line test, two points touch on the same line
[3, 3]
[3,4]
8 0
3 years ago
Other questions:
  • These box plots show daily low temperatures for a sample of days in two
    14·1 answer
  • An arched entrances to a stadium is made by combining a square and a semicircle. What is the area of the opening?
    6·1 answer
  • I WILL MAKE YOU THE BRAINLIEST EASY QUESTION
    5·2 answers
  • A and b are complementary angles. a measures 28 degrees. what is the measure of b
    8·2 answers
  • Can someone help me get better in math?
    10·1 answer
  • Which number produces a rational number when added to 5/8 ?
    13·1 answer
  • Can somebody please help me with this math question please
    7·1 answer
  • Can you please factor (5n^2+10xn)(2n-3) all of the way down? (worth 50 pts)
    14·2 answers
  • Check My Work According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Data
    10·1 answer
  • Después de 15 meses de haber prestado un capital al 5% de rédito, tengo que pagar de interés Q468.75. ¿Qué capital se ha prestad
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!