Find the volume of a 2by2

A cylindrial hole is cut through the cylinder below.

Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

$V= \pi r^2h$

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

$V=V_1-V_2$

$V=\pi r_1^2 \times h-\pi r_2^2 \times h$

$V=\pi \times h \times (r_1^2-r_2^2)$

Where

$V_1$ is the the volume of solid cylinder with radius $r_1$ and height h

$V_2$ is the volume of the cylinder being carved out with radius $r_2$ and height h

where

$r_1 = 7$ mm ( Half of the bigger diameter )

$r_2 = 5$ mm ( Half of the inner diameter )

$h=25$ mm

Putting these values in the formula for V we get

$V=\pi \times 25\times (7^2-5^2)$

$V=3.14 \times 25 \times(49-25)$

$V=3.14 \times 25 \times 24$

$V= 1884$

3 0

2 years ago

Jarred went to the bookstore,

Fudgin [204]

Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

Things that are useless:

his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)

the book is softcover (it could be any type of book, wont affect us getting to the answer)

the item is a book (it could be anything that he bought, wont affect us getting to the answer.)

Things that are helpful:

the book was on sale (helps us know that the price was reduced)
the book was on sale 10% (helps us know how much it was reduced by)
he spent $18 for the reduced price (helps us know how much he spent)

Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

90% of b = 18 (90% of the og. book price equals 18)

90/100 × b = 18 (write a correct equation and make the percent a fraction)

9/10 × b = 18 (simplify both sides of the equation)

9 × b = 180 (multiply both sides of the equation to get rid of fraction)

b = 20 (divide both sides of the equ. to get b by itself)

the original price of the book is $20

hope this helped :D

good luck my friend

- cheesetoasty

3 0

2 years ago

What is the percent of 34

andreyandreev [35.5K]

Answer:

I would be glad to help you if you give me some more informatio.

Step-by-step explanation:

5 0

2 years ago

Does anyone know 8-10?

Anon25 [30]

#8).
The volume of a cone is (1/3) (pi) (radius of the round end)² (height)

That's the volume of the ice cream cone alone.

The volume of a sphere is (4/3) (pi) (radius)³

The glob of ice cream on top is 1/2 of a sphere.
The sphere and the cone in this problem both have the same radius.

#9).
The volume of a cylinder is (pi) (radius of the round end)² (height)

#10).
Another cylinder !
The volume of a cylinder is (pi) (radius of the round end)² (height)

8 0

3 years ago

Read 2 more answers

HELP ASAP solve the equation using the properties of equality. 89= -5d+9

sergey [27]

Answer:

d = -16

Step-by-step explanation:

Step 1: Write equation

89 = -5d + 9

Step 2: Solve for d

Subtract 9 on both sides: 80 = -5d

Divide both sides by -5: -16 = d

Step 3: Check

Plug in x to verify if it's a solution.

89 = -5(-16) + 9

89 = 80 + 9

89 = 89

8 0

2 years ago

Find the volume of a 2by2​

Find the volume of a 2by2