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lateral area of cylinder with original radius   =   2π r h

lateral area of cylinder with doubled radius   =   2π (2r) h

lateral area of cylinder with doubled radius   =   2( 2π r h )

lateral area of cylinder with doubled radius   =   2( lateral area of cylinder with original radius )

The lateral area of the cylinder with the doubled radius is two times the lateral area of the original cylinder.

So...doubling the radius doubles the lateral area.

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surface area of cylinder with original radius   =   2π r h  +  2 π r²

surface area of cylinder with doubled radius   =   2π (2r) h  +  2 π ( 2r )²

surface area of cylinder with doubled radius   =   2π (2r) h  +  2 π  4 r²

surface area of cylinder with doubled radius   =   2( 2π r h )  +  4( 2 π r²  )

This one is a little trickier. Doubling the radius doubles the lateral area, but it quadruples the area of each base. And the surface area is the sum of the lateral area and the area of the bases.

I'm not sure if this is exactly what you want, but I hope it helps

Welcome....!!!

Wow! I never thought of doing that!

What is 25 percent (calculated percentage %) of number 19? Answer: 4.75.

Take 1/2  of 22  =  11

Square this  = 11^2  =  121

That's what goes into the box

Proof

(x + 11)^2  =

(x + 11)  ( x + 11)  =

x^2  + 22x + 121

TY! Very much Cphill!

OK  we have this

6 + b + c   = 18

b + c  =  18 - 6

b + c  = 12       (1)

Also

6^2 + b^2  = c^2      [ Pythagorean Theorem ]

36 + b^2 = c^2

36  = c^2 - b^2

36 = ( c - b) ( c + b)         sub in (1) for b + c

36 = (c - b) ( 12)    divide both sides by 12

3  = c - b    rearrange as

b = c - 3     sub this into (1)  for b

c - 3 + c  = 12

2c = 15

c =7.5

How much is 42 out of 56 written as a percentage? Convert fraction (ratio) 42 / 56

Answer: 75%

Lol!

hes right man  hes smart

Yup! that's 100% correct

Also, next time I know how to do it because of your explanation

8in  = 2/3 ft

Lateral surface area  = 

2 * pi * r * h  =

2 * pi * (2/3) * 24  =

32pi  ft^2  ≈  100.5 ft^2

(1/3)^(-2)  =  27^x

Get the bases equal......

(3^(-1))^(-2)  = ( 3^3 )^x

3^2  = 3^(3x)

We have the bases equal...solve for the exponents....

2 = 3x

x =2/3

All it says is...

In the addition problem shown, each letter represents a different digit.  If GOD = 605, what number does MOVED represent?

ADAM 

  AND

+ EVE     

MOVED

No need to guess and check....we can solve directly

Let the boxes of thank you cards  = x

Let the boxes of get well cards  = 8 - x

So  we can solve this

4x + 6 ( 8 - x)  = 36     simplify

4x + 48 - 6x  = 36

-2x + 48  =  36        subtract 48 from both sides

-2x = -12      divide both sides by -2

x =6 =  boxes of thank you cars

8 - 6 = 2 boxes of get well cards

Well said!

Good!

Not sure but:

\(15+3=(3*5)+3\)

Given that \(3+3=4\) thus \(3=1\)

\(5+5=10\) thus \(5=5\)

Now substitute 

\(1*5+1=6\)

We first compute for the surface area of the roller and the total area covered by the 5 gal paint
1gal = 20 ft2
5 gal = 20ft2 x 5
         = 100ft2
1 rev = surface area of the side of the cylinder
1 rev= 2pirh
where
radius= 1.5 in=0.125 ft
h= 8 in=0.67 ft
1 rev= 0.53 ft2
5 gal = 100ft2
total revolutions = 100ft2/0.53ft2
total revolutions = 188.68 revoluions
A 5 gal paint can take 188.68 revolutions of paint roller with 8in wide and diameter of 3 in.

thank you!

Assuming that the other adjacent side to the 40° angle is the hypotenuse (it looks to be the greatest side )

The angle opposite the side of 128 '  =  50°

We can use the Law of Sines to find d

d/ sin 40  = 128 / sin 50

d  = 128 * sin 40 / sin 50  ≈  107.4 '

Second one....a little difficult

Circle : Stall = 2 : 5

If the Circle   seats 528 people, the Stall will seat  5/2 times this  = 528 (5/2)  = 1320

But only (2/3)  of these were occupied  = 1320 (2/3)  = 880 seats

So....the percentage of total occupancy  =

[ 880 + 528 ]            1408

___________  =     ______  ≈  76%

[ 1320 + 528]           1848 

1. 

a. 65:195

b. C 3/5