Mathematics, 23.09.2019 19:30 ale1910

The circumference of the bas of the cylinder is 18π units. the cylinder is 30 units tall.
which of the following is the closest to the volume of the cylinder?
a 706 cubic units
b 1,414 cubic units
c 7,630 cubic units
d 21,195 cubic units

Answers: 1

Show answers

Answers

The volume of a cylinder is (pi) (radius)² (height).

We know the height, but we don't know the radius.
Is there a way we can find it ?
We know the circumference of the base. Maybe that's a clue.
Can you find the radius of a circle when you know the circumference ?

   Circumference of a circle = (pi) x (diameter)

      18 pi units = (pi) x (diameter)

Divide both sides by pi : 18 units = diameter

Divide both sides by 2 : 9 units = radius yay !

Now we know the radius and the height of the cylinder,
so we can calculate the volume.

radius = 9
height = 30
we'll use 3.14 for pi .

Volume = (pi) (radius)² (height) =

   (3.14) (9)² (30) =

   (3.14)   (81)    (30) = 7,630.2 cubic units

Is there a choice close to that ? I'll go up and look.

Yes ! Choice 'C' is 7,630 cubic units. yay !

Answer from: Quest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

Answer from: Quest

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

******************

this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

Which statement about this figure is true?

Another question on Mathematics

Mathematics, 21.06.2019 23:30

Solve the equation.then check your solution 8=1.88+a

Answers: 2

Answer

Mathematics, 22.06.2019 02:00

The table below shows the number of free throw shots attempted and the number of shots made for the five starting players on the basketball team during practice. each player's goal is to make 80% of her shots. players number of free throws made free throw attempts kelly 16 20 sarah 25 30 maggie 31 40 liz 44 50 kim 47 60 how many players made at least 80% of their shots? round to the nearest percent.

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Lucy is a dress maker. she sews \dfrac47 7 4 ? of a dress in \dfrac34 4 3 ? hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable.

Answers: 2

Answer

Mathematics, 22.06.2019 02:00

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.

Answers: 3

Answer

You know the right answer?

The circumference of the bas of the cylinder is 18π units. the cylinder is 30 units tall.
whic...

Questions