Question

a rectangular sheet of metal foil with dimensions 66 CM x 12 cm is rolled to form cylinder of height 12 cm find the volume of cylinder

Answer 1

Answer : 4,158 cm³

Solution :
__________

Given that : Dimensions of rectangle = 66cm ×12cm and Height of cylinder = 12 cm

Now, according to the question :

Area of rectangle = Area of cylinder

$66 \times 12 = 2\pi \times r \times 12 \\ \\ = > 66 \times 12 = 2 \times \frac{22}{7} \times r \times 12 \\ \\ = > r = \frac{21}{2} \: cm$

Now, volume of cylinder :

$\pi {r}^{2} h \\ \\ = > \frac{22}{7} \times { (\frac{21}{2}) }^{2} \times 12 \\ \\ = > \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times 12 \\ \\ = > 4158 \: {cm}^{3}$

So, the volume will be 4,158 cm³