What is five times less than the toyal cost of 69 dollars.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm².

Slav-nsk [51]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm
➣ Curved surface area = 88 cm²

$\begin{gathered}\end{gathered}$

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder
➠ Diameter of cylinder

$\begin{gathered}\end{gathered}$

USING FORMULAS :

$\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}$

$\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}$

➛ Csa = Curved surface area
➛ π = 22/7
➛ r = radius
➛ h = height
➛ d = diameter

$\begin{gathered}\end{gathered}$

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}$

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

$\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}$

Hence, the diameter of the base of the cylinder is 2 cm.

$\rule{300}{2.5}$

3 0

1 year ago

Read 2 more answers

HELP PLEASE 5/12-(x-3)/6≤(x-2)/3 Solve with a step by step solution

zlopas [31]

Answer:x>3 1/6

Step-by-step explanation:

5/12-(x-3)/6 <(x-2)/3

5/12 *12-(x-3)/6*12<(x-2)/6*12

5-2(x-3)<4(x-2)

5-2x+6<4x-8

-2x+11<4x-8

-2x<4x-19

-6x<-19

-6x(-1)<-19(-1)

6x>19

x>19/6

x>3 1/6

just change all the inequality signs to a x is greater or equal to 3 1/6 and on the rest change to and < and equal sign only put > or equal sign on the last three lines

8 0

2 years ago

Answer ALL of the questions. LOOK AT ALL THE PICTUERS .Show your work. if you can show me a picture of your work and the step yo

Svet_ta [14]

7.

To swap a figure to 90 degrees counter clock wise turn the points from

(x,y) to (-y,x)

Let’s get your points

(-2,3) ; (-4,2) ; (-2,-4)

Swap the values and make the new x’s negotiate

(-3,-2) ; (-2,-4) ; (4,-2)

These should be the points of the new figure with is 90 degrees counterclockwise of the first one.

10.

To find x you can either:

Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both

x = 93 + 54
x = 147

Or

180 - 93 - 54
33
180 - 33 = 147

x = 147

8.

First we dilate the coordinates by 0.5

(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)

Basically divide each x and by by two

(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)

Two units left would be to subtract two from the x values

(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)

Add three to each y value

New coordinates:

(-4,6) (-1,6) (-1,1) (-4,1)

6.

Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other

2(6x) = 10x + 8

Multiply

12x = 10x + 8

Get x on one side

2x = 8

Divide

x = 4

Plug in 4 for an equation

2(6(4))

48

Circumference = pi * diameter

Unsure if you use 3.14 for pi

If you use 3.14 :

(3.14) (48) = 150.72

If you use pi :

Pi (48) (rounded) = 150.80

8 0

2 years ago

Are the ratios 4:9 & 12:18 equivalent?

Zigmanuir [339]

No they aren't because they both can't be multiple by the same number

7 0

3 years ago

Read 2 more answers

Hi pls help me in math im soo stuck:(((

Genrish500 [490]

2x = 48, 3x = 72, 4x = 96, 6x = 144

2x + 3x + 4x + 6x = 360
15x = 360
x = 24

2x = 2(24) = 48
3x = 3(24) = 72
4x = 4(24) = 96
6x = 6(24) = 144

8 0

2 years ago