56. V=nr for r (geometry, v357. A = s2 for s (geometry, area c58. Aπα24ford (geometry, are159. K=-mv² for v (physics, ene2

V=13πr2hmultiply both side by '3'3V=πr2hdivide both side by πh3Vπh=πr2hπh⇒r2=3Vπhtaking square root…

Answered: 56. V=-rºh 371 57. A = s2 for s…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Question

56. V=nr for r (geometry, v
3
57. A = s2 for s (geometry, area c
58. A
πα2
4
ford (geometry, are
1
59. K=-mv² for v (physics, ene
2

Expert Solution

Step 1

$V = \frac{1}{3} {πr}^{2} h multiply both side by' 3' 3 V = {πr}^{2} h divide both side by πh \frac{3 V}{πh} = \frac{{πr}^{2} h}{πh} \Rightarrow r^{2} = \frac{3 V}{πh} taking square root both side r = \pm \sqrt{\frac{3 V}{πh}} neglect negative sign, because side can never be negative r = \sqrt{\frac{3 V}{πh}}$