SOLUTION: 2) The volume of a cone is given by 1/3 π r2 h.: a) Transpose the formula to make h the subject b) Transpose the formula to make r the subject c) When the height of the c

Algebra ->  Volume -> SOLUTION: 2) The volume of a cone is given by 1/3 π r2 h.: a) Transpose the formula to make h the subject b) Transpose the formula to make r the subject c) When the height of the c      Log On


   

Question 177534: 2) The volume of a cone is given by 1/3 π r2 h.:
a) Transpose the formula to make h the subject
b) Transpose the formula to make r the subject
c) When the height of the cone is 15cm, the volume is 1600cm3. Find the radius to an appropriate degree of accuracy.
d) When the radius is 7cm, the volume is 1850cm3. Find the height to an appropriate degree of accuracy.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
V=%28pi%2AR%5E%282%29%2Ah%29%2F3
a.)V=%28pi%2AR%5E%282%29%2Ah%29%2F3
3V=pi%2AR%5E2%2Ah
h=%283V%29%2F%28pi%2AR%5E2%29
.
.
.
b.)V=%28pi%2AR%5E%282%29%2Ah%29%2F3
3V=pi%2AR%5E2%2Ah
R%5E2=%283V%29%2F%28pi%2Ah%29
R=sqrt%28%283V%29%2F%28pi%2Ah%29%29
.
.
.
c.)From b.)
R=sqrt%28%283V%29%2F%28pi%2Ah%29%29
R=sqrt%28%283%281600%29%29%2F%28pi%2A15%29%29
R=10.1
.
.
d.)From a.)
h=%283V%29%2F%28pi%2AR%5E2%29
h=%283%281850%29%29%2F%28pi%2A%287%29%5E2%29
R=36.1
.
.