Question

A paint can is in the shape of a right circular cylinder. The volume of the paint can is 600 cubic
inches and its altitude is 12 inches.

Find the radius, in inches, of the base of the paint can. Express the answer in simplest radical
form.

Im studying for a regents i have a answer but i need it explained

Answer 1

answer is \[5\sqrt{2} \] and 533.1 as stated by my answer sheet.

Answer 2

so do you know what is the formula for volum of a cylinder ?

Answer 3

v=BH where B is the area of the base

Answer 4

yes right and area of base from what terms can you calcule it ? what is this formula for area of base ?

Answer 5

area of the base would be pi r squared?

Answer 6

yes right so than how can you writing the volum of cylinder using formula for area of base ?

Answer 7

V=?

Answer 8

could i do 600pi = BH(12) ? then find base? the volume was given as 600pi

Answer 9

what is there (12) ?

Answer 10

12 is altitude

Answer 11

they want me to find radius so i can find the area

Answer 12

so yes is right but when you write formula for volum you need writing just fonts or numbers
- so volum of cylinder is pi*r squared time height so

V=pir^2 *h

-yes is right

- so from this you can calcule r

yes ?

Answer 13

checking

Answer 14

i dont understand this question

Answer 15

so you need calcule radius of circle of the base of cylinder ,yes ?

Answer 16

so ok

V=pi*r^2 *h
600pi=pi*r^2 *12 so divide both sides by 12pi and will get

600pi 12pi*r^2
------ = -------
12pi 12pi

50=r^2

so because a length not can being negativ value so than r=sqrt50 =5sqrt2

r=5sqrt2

Answer 17

hope so much that is understandably sure right for you

good luck

bye