Question

an: a sphere and a right cylinder have the same radius and volume.find the radius r in terms of the height h of the cylinder

Answer 1

a sphere and a right cylinder have the same radius and volume.find the radius r in terms of the height h of the cylinder

Answer 2

help

Answer 3

you need two formulas :

1) volume of cylinder
2) volume of sphere

Answer 4

there aren't any at all though

Answer 5

volume of cylinder = \(\large \pi r^2 h\)

volume of sphere = \(\large \frac{4}{3} \pi r^3\)

Answer 6

Since you're given both volumes are equal,
set them equal and solve \(\large r\)

Answer 7

set them equal :

\(\large \pi r^2 h = \frac{4}{3} \pi r^3\)

Answer 8

you can cancel pi and r^2 both sides :

\(\large h = \frac{4}{3} r\)

Answer 9

okay

Answer 10

can you solve \(\large r\) now ?

Answer 11

should i choose any number

Answer 12

nope, they just want the \(r\) in terms of \(h\)

Answer 13

\(\large h = \frac{4}{3} r\)

multiply 4/3 both sides

\(\large \frac{3}{4} h = r\)

Answer 14

which is same as


\(\large r=\frac{3}{4} h\)

Answer 15

so i chose 5 first was 25

Answer 16

so 25 and 17.5?

Answer 17

from where u getting those numbers :/

Answer 18

\(\large r = \frac{3}{4} h \)

and its the end. they just want u find out \(r\) in terms of \(h\)

Answer 19

we're done^