Question

The volume of a cylinder is 5544 cu.Cm and it's height is 16 cm. Find the radius and it's curved surface area

Answer 1

$\underline{\underline{\Huge\mathfrak{Solution:- ;}}}$

$Volume of Cylinder = 5544 cm^3. = > \pi \: {r}^{2} h = 5544 \\ \\ = > \frac{22}{7} \times {r}^{2} \times 16 = 5544 \\ \\ = > {r}^{2} = \frac{5544 \times 7}{16 \times 22} \\ \\ = > {r}^{2} = \frac{38808}{352} \\ \\ = > {r}^{2} = 110.25 \\ \\ = > r = \sqrt{110.25 } \\ \\ = > r = 10.5$

Radius = 10.5 cm.

Now ,

Curved Surface Area of Cylinder =

$= > 2\pi \: r \: h \\ \\ = > 2 \times \frac{22}{7} \times 10.5 \times 16 \\ \\ = > 1055.04 \: cm$

Answer 2

⭐⭐hii⭐⭐

Volume of cylinder = 22/7*r^2*h
5544=22/7*r^2*16
r=21/2cm
Now,
Curved Surface area = 2*22/7*r*h
=2*22/7*21/2*16
=1056cm^2

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