Question

Page: If the circumference of the circular base of the cylinder with height 22 cm is 132cm, what is the total surface area of cylinder​

Answer 1

$\textsf {Finding the radius using circumference formula :}$

$\mathsf {Circumference = 2\pi r}$

$\mathsf {132 = 2 \times 3.14 \times r}$

$\mathsf {r = \frac{132}{6.28}}$

$\textsf {r = 21 cm (approx.)}$

$\textsf {Finding the total surface area :}$

$\mathsf {TSA = 2\pi r (r + h)}$

$\mathsf {TSA = 2 \times \frac{22}{7} \times 21 (21 + 22)}$

$\mathsf {TSA = 2 \times 22 \times 3 \times 43}$

$\mathsf {TSA = 44 \times 129}$

$\mathsf {TSA = 5676cm^{2}}$ (Final answer)