How do you get the numbers 4 5 13 to equal 5

A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

otez555 [7]

The volume of a cylinder is the area of the base, times the height.
The area of the circular base is, of course, π times the square of its radius. 
So the volume of a cylinder, V, is 
V = π h r^2 
where h is the height and r is the radius. 

If we multiply the height by 3, the new height is 3h. 
If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. 
So the new volume would be 
π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 
which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. 

So the volume of the larger pool is 
27 * 37 cubic feet = 999 cubic feet [answer B] 

This is an instance of a general rule: 
If we multiply ALL the linear dimensions of an object by a factor F, 
while keeping the shape the same (often termed "similar" in geometry), 
that multiplies the volume by F^3 (the cube of F). 

It also multiplies the surface area by F^2. 

These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.

3 0

3 years ago

Graph the image of the figure given the transformation

-BARSIC- [3]

This transformation requires us to shift 1 unit left and 4 units down.

4 0

2 years ago

Sam Smith is purchasing a home. The selling price is $107,000. He is acquiring a new conventional loan and decides to make a 10%

kotykmax [81]

Answer:

$214

Step-by-step explanation:

selling price= $107,000

subtract 10%down payment

107,000- (107,000*.1)

107,000-107,00

96,300

Interest rate= 8%

Annual payment= 96,300* 0.08

$7704

per month payment= 7704/12

$624

payment on closing only for 10 days

642*(10/30)

$214

4 0

3 years ago

The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviatio

Alika [10]

Answer:

Death bed

Step-by-step explanation:

Don't stay awake for too long

Don't go to bed

I'll make a cup of coffee for your head

I'll get you up and going out of bed

Yeah

I don't wanna fall asleep

I don't wanna pass away

I been thinking of our future 'cause I'll never see those days

I don't know why this has happened

But I probably deserve it

I tried to do my best

But you know that I'm not perfect

I been praying for forgiveness

You've been praying for my health

When I leave this earth

Hoping you'll find someone else

'Cause yeah, we still young there's so much we haven't done

Getting married, start a family

Watch your husband with his son

I wish it could be me

But I won't make it off this bed

I hope I go to heaven

So I see you once again

My life was kinda short

But I got so many blessings

Happy you…

6 0

3 years ago