Question

A cylindrical 3 metre height is open at the top the circumference of its base is 22 metre find the total surface area​

Answer 1

Step-by-step explanation:

Given: Height of the cylinder (h) = 3m

Circumference of base = 22m

$2\pi \: r = 22$

$r= \frac{22}{2\pi}$

$r = \frac{22 \times 7}{2 \times 22}$

$r = \frac{7}{2} \: \: \: cm$

According to question,

Toral surface area of cylinder = CSA of cylinder + Base of cylinder

$= 2\pi \: rh + \pi \: {r}^{2}$

$= \pi \: r \: (2h + r)$

$= \frac{22}{7} \times \frac{7}{2} (2 \times 3 + \frac{7}{2} )$

$= 11(6 + \frac{7}{2} )$

$= 11 \times \frac{19}{2}$

$= \frac{209}{2} = 104.5 \: \: {m}^{2}$