Question

The total surface area of cylinder is 2464 sq cm The height and radius of cylinder are equal, find the radius of its base

Answer 1

hii!!

here's ur answer...

let the radius of the cylinder be x therefore the height of the cylinder is also x. as it's written in the question.

TSA of the cylinder=2464cm²

2πr(h+r)=2464cm²

2×22/7×x(x+x)=2464cm²

44/7×x(2x)=2464cm²

44/7×2x²=2464cm²

2x²=2464/1×7/44

2x²=56×7

2x²=392

x²=392/2

x²=196

x=√196

x=14

hence, the radius of the cylinder is 14cm and also the height of the cylinder is 14cm as they have same length.

verification:-

TSA of the cylinder=2πr(h+r)

=2×22/7×14(14+14)

=44×2(28)

=88×28

=2464cm²

hence verified..

hope this helps..!

Answer 2

I hope this helps you. thanks