I need to know the expression for the verbal phrase :

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t

evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

where r = radius of the container and h is the height of the container

r = 3cm and h = 12 cm π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

=3.14 × 3²×12

=3.14×9×12

=339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water = πr²h

r is the radius of the container and h is the height of the water

r = 3cm and h = 7cm

volume of water = πr²h

= 3.14 ×3²×7

=3.14×9×7

=197.82 cm³

volume of empty space = volume of the cylinder - volume of water

=339.12 cm³ - 197.82 cm³

= 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

= 12 - 7

=5 cm

volume of empty space = πr²h

=3.14×3²×5

=3.14×9×5

=141.3 cm³

volume of empty space = 141.3 cm³

4 0

3 years ago

Find the absolute value of -6/3/5

sashaice [31]

(|-6| / 3) / 5 = 0.4

6 0

3 years ago

On Tuesday, a coffee sho sold the following: 20 coffees for $2.85 each and 17 lattes f r $4.80 each, If the coffee shop had to p

almond37 [142]

Ok so to solve this problem we're going to need to find out how much money they made (their revenue) and the subtract the cost of paying the employees.

So, let's start by finding their revenue

Step 1: Multiply the cost of each beverage by the number sold

Coffees: 20 x 2.85 = 57

Lattes: 17 x 4.80 = 81.6

Step 2: add up the money made from the coffees and the money made from the lattes to get the total revenue

57 + 81.6 = 138.6

So the shop made $138.60 on Tuesday. Let's set that aside while we find out how much the shop's costs were.

Step 3: Find the price of paying two employees for 6 hours

2 x 6 x 14.5 = 174

So the shop had to pay the employees $174.00 for working there.

Step 4: Find the overall profit/loss by subtracting the cost from the revenue

138.6 - 174 = -35.4

So the shop had a loss of $35.40 on Tuesday.

Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)

7 0

3 years ago

Read 2 more answers

Please help me and please dont put a incorrect number just for points

marin [14]

Answer:

Step-by-step explanation:

You multiply by the reciprocal of 1/5 to make the equation 1/3*5/1 to get 5/3

if u dont know this *=multiplication

8 0

2 years ago

The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder is 1628 m

MA_775_DIABLO [31]

Answer:

4618.14 $m^{3}$ or 4618 $m^{3}$

Step-by-step explanation:

From T.S.A = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

where T.S.A = 1628 $m^{2}$

1628 = 2 $\pi$ rh + 2 $\pi$ $r^{2}$

1628 = ( rh + $r^{2}$ ) 2 $\pi$

by dividing both side by 2 $\pi$

$\frac{1628}{2\pi }$ = rh + $r^{2}$

259.10 = rh + $r^{2}$

rh = 259.10 - $r^{2}$

h = $\frac{259.10 - r^{2} }{r}$ <u> </u>(1)

From Radius + Height = 37

r + h = 37 <u> </u>(2)

by substituting eqn 1 into 2

r + $\frac{259.10 - r^{2} }{r}$ = 37

by multiplying r to both side

$r^{2}$ + 259.10 - $r^{2}$ = 37r

259.10 = 37r

r = $\frac{259.10}{37}$

r = 7.00 ≅ 7

From Eqn 2

r + h = 37

7 + h = 37

h = 37 - 7

h = 30

so Volume of a cylinder = $\pi r^{2} h$

V = $\pi$ * $7^{2}$ * 30

V = 4618.14 $m^{3}$ ≅ 4618 $m^{3}$

4 0

3 years ago

Read 2 more answers