The total surface area of a cylinder is 352 cm square. if its heighr is 10 cm, then find the diameter of the base.
Answers
Answered by
3
Here,
TSA of cyld.=352cm2
ie,2r(r+h)=352
or,2*22/7*r(r+10)=352
or,44/7*r(r+10)=352
or,r(r+10)=352*7/44
or,r^2+10r=56
or,r^2+10r-56=0
or,r^2-4r+14r-56=0
or,r(r-4)+14(r-4)=0
or,(r-4)(r+14)=0
So,Either r-4=0
r=4
Or r+14=0
r= -14(invalid)
Now, r=4cm
d=2r
=2*4=8cm
TSA of cyld.=352cm2
ie,2r(r+h)=352
or,2*22/7*r(r+10)=352
or,44/7*r(r+10)=352
or,r(r+10)=352*7/44
or,r^2+10r=56
or,r^2+10r-56=0
or,r^2-4r+14r-56=0
or,r(r-4)+14(r-4)=0
or,(r-4)(r+14)=0
So,Either r-4=0
r=4
Or r+14=0
r= -14(invalid)
Now, r=4cm
d=2r
=2*4=8cm
Answered by
0
Answer:
Step-by-step explanation:
Koojnnd
Similar questions