Question

Total surface area of cylinder is $2464c{m}^2$ the height and radius of cylinder are equal, find the radius of its base.

Answer 1

Let the radius of the cylinder be $x$ therefore the height of the cylinder is also $x$.

$TSA$ of the cylinder $=2464c{m}^2$

$2\pi r(h+r)=2464c{m}^2$

$2\times 22/7\times x(x+x)=2464c{m}^2$

$44/7\times x\left(2x\right)=2464c{m}^2$

$44/7\times 2x^2=2464c{m}^2$

$2x^2=2464/1\times 7/44$

$2x^2=56\times 7$

$2x^2=392$

$x^2=392/2$

$x^2=196$

$x=\sqrt{196}$

$x=14$

Hence, this is the answer.