All categories

3 years ago

# 6 Q. Find the volume of the cylinder to the nearest cubic foot.Use a calculator

Mathematics

2 answers:

Bogdan [553]3 years ago

6 0

The volume of the cylinder = π r² h
r ⇒⇒⇒ radius
h ⇒⇒⇒ height

r = 5 ft and h = 3 ft
volume = π * 5² * 3 = 235.62 ft³
rounding to the nearest ft² = 236 ft³

The fourth choice is the correct answer

elixir [45]3 years ago

4 0

The fourth choice and it would be 236 ft^3

Solution:volume of the cylinder = π r² hr =radiush=height
Substitute the given:r = 5 ft
and h = 3 ftvolume = π * 5² * 3
= 235.62 ft³= 236 ft³

You might be interested in

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :
z=-1
z=2/3
Step 1 :Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2z-3|

For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

Step 3 :Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

z=2/3
 z=-1

2. -6 < x < 26/3

Step 1 :Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

Step 2 :Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-4|

For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

Step 3 :Solve the Negative Case

-(3x-4) < 22

 Multiply
 -3x+4 < 22

 Rearrange and Add up
 -3x < 18

 Divide both sides by 3
 -x < 6

 Multiply both sides by (-1)
 Remember to flip the inequality sign
 x > -6
 Which is the solution for the Negative Case

Step 4 :Solve the Positive Case

(3x-4) < 22

 Rearrange and Add up
 3x < 26

 Divide both sides by 3
 x < (26/3)

 Which is the solution for the Positive Case

Step 5 :Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

3 years ago

Which of these equations are true when the value of y is 27?

Troyanec [42]

Answer:

I. -9 + y = 18

Step-by-step explanation:

Double-check to see if I was correct

7 0

3 years ago

Solve for x given the equation x-5+7=11

Alexeev081 [22]

Answer:

Step-by-step explanation:

x-5+7=11

First think of what +7 = 11 then subtract by 5

check :)

7 0

3 years ago

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of

Ira Lisetskai [31]

Answer:

Rotations

Step-by-step explanation:

The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.

The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.

4 0

3 years ago

A gymnastics school offered a special for enrollment where a new student could enroll for half the price after paying a $17.50 a

nata0808 [166]

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

8 0

3 years ago

Read 2 more answers