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
LiRa [457]
3 years ago
7

A rectangular prism and a cylinder both have a height of 8 m, and their cross-sectional areas are equal at every level parallel

to their respective bases. A rectangular prism and a cylinder both have a height of 8 meters. The rectangle has base dimensions of 5 meters by x. The cylinder has a radius of 3 meters. Find the volume of the prism.
Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0

Answer:

The answer to all of the question is

1)40x

2)72

3)5.7

Step-by-step explanation:

I just did it on edg.

Svetllana [295]3 years ago
5 0

Answer:

The volume of the prism is

V=72\pi\ m^3

Step-by-step explanation:

we know that

The volume of the prism is given by the formula

V=LWh ----> equation A

The volume of the cylinder is given by the formula

V=\pi r^{2}h ---> equation B

Remember that

If the height is the same and their cross-sectional areas are equal at every level parallel to their respective bases, then their volumes are equal

so

Find the volume of the cylinder

V=\pi r^{2}h

substitute the given values

V=\pi (3)^{2}(8)

V=72\pi\ m^3

therefore

The volume of the prism is

V=72\pi\ m^3

You might be interested in
Mindy makes an annual salary of $24,590. What is the maximum monthly rent she could afford to pay?
Otrada [13]
24590/12=2029.166....
Your answer would be $2049.17
6 0
3 years ago
Read 2 more answers
Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
What do you get when u count out 40 dollars with quarters? <br><br><br>help me please ​
Rudiy27

Answer:

160 Quarters

Step-by-step explanation:

There are 4 quarters in a dollar, and we know that there are 40 dollars. Multiply 40 by 4 to get 160

<u>Hope this helps :-)</u>

3 0
3 years ago
What is the equation of a line passes thru the point (4, 2) and is perpendicular to the line whose equation is y = ×/3 - 1 ??
cupoosta [38]

Answer:

Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.

y= -3x+b

Now, we can substitute in the point given to find the intercept.

2= -3(4)+b

2= -12+b

b=14

Finally, put in everything we've found to finish the equation.

y= -3x+14

5 0
3 years ago
Read 2 more answers
Fill in table and find slope. Please answer ASAP and show work please!
dybincka [34]
Slope is 1/2 love u g
5 0
3 years ago
Other questions:
  • David Howell was shopping for a leather jacket. He found one at the department store that was selling for $395. He learned that
    11·1 answer
  • What is the square root of 100​
    13·2 answers
  • 2x-y = -10 what does y equal?
    7·1 answer
  • Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% intere
    15·1 answer
  • What is almost always the last step when solving a problem using the Pythagorean Theorem?
    13·1 answer
  • The subtotal for a TV was $1,029.99. What does that mean?
    5·1 answer
  • PLZ HELP. Which is the better buy? $40 for three digital movies
    12·1 answer
  • Graph the line that represents the equation 3y = 2x + 9.
    12·1 answer
  • To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
    10·1 answer
  • Valley playhouse receives 2884 by selling 430 tickets to the opening night of the musical. if the full price of a ticket is 8 an
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!