Volume of cylinder is 3600pi^3 and the height is 16 how do I find surface area.
How do I go about this?
(I've taken out the units but they're inches if that matters...)
We need to find the radius.....
The volume is given by
Vcylinder = (4/3) pi r^(3) ....so we have
3600pi^3 = (4/3)pi r^3 .....multiply by (3/4) and divide by pi
(3/4)3600pi^2 = r^3
2700pi^2 = r^3 take the cube root of each side
r = 29.87
To find the surface area (inckuding the top amd bottom), we have
Sa = 2pi (r * h + r^2) where r is the radius and h is the height
Sa = 2pi( 29.87 * 16 + 29.87^2) = 8608.82 cubic inches
We need to find the radius.....
The volume is given by
Vcylinder = (4/3) pi r^(3) ....so we have
3600pi^3 = (4/3)pi r^3 .....multiply by (3/4) and divide by pi
(3/4)3600pi^2 = r^3
2700pi^2 = r^3 take the cube root of each side
r = 29.87
To find the surface area (inckuding the top amd bottom), we have
Sa = 2pi (r * h + r^2) where r is the radius and h is the height
Sa = 2pi( 29.87 * 16 + 29.87^2) = 8608.82 cubic inches