can some one please help me im confused The radius of a cylinder is 3.5 ft. The height is 14 ft. Find the surface area and volume of the cylinder to the nearest tenth of a foot. Show your work. what is the answer

3 answers

From Google:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
The formula for the surface area of a cylinder is T.S.A.= 2πrh+2πr^2 where 2πrh represents the lateral area while 2πr^2 represents the combined area of the bases. Since we know r=3.5ft and h=14ft, then we have:

T.S.A.= 2πrh+2πr^2
T.S.A.= 2π(3.5)(14)+2π(3.5)^2
T.S.A.= 2π(49)+2π(12.25)
T.S.A.= 98π+24.5π
T.S.A.= 122.5π
T.S.A.= 384.8451 ft^2

The formula for the volume of a cylinder is V = π*r^2*h
Since we know that r=3.5ft and h=14ft, then the volume of the cylinder is:
V = π*r^2*h
V = π*3.5^2*14
V = π*12.25*14
V = π*171.5
V = 171.5π
V = 538.783 ft^3
Hope this was helpful! Let me know if you would like me to clarify anything!