Question

The curved area of cylinder is 6600 and the circumfrence of its base 220 cm find the capacity of the cylinder

Answer 1

Heya user !!

Here's the answer you are looking for

Let the radius of the cylinder be r and height be h.

Circumference = 2πr = 220 cm

and

Curved surface area = 2πrh = 6600


$\frac{curved \: surfce \: area}{circumference} = \frac{2\pi rh}{2\pi r} = h \\ \\ h = \frac{6600}{220} = 30cm$

Height of the cylinder (h) is 30cm

$circumference \: = 2\pi r = 220 \\ 2 (\frac{22}{7} )r = 220 \\ \\ r = \frac{220 \times 7}{22 \times 2} = 35$

Radius of the cylinder (r) is 35cm.


$Capacity \: of \: the \: cylinder \\ = \: volume \: of \: the \: cylinder \: \\ = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {35}^{2} \times 30 \\ = \frac{22}{7} \times 35 \times 35 \times 30 \\ = 115,500 \: {cm}^{3}$



★★ HOPE THAT HELPS ☺️ ★★