Question

the curved surface area of a cylinder is 4,400cm2​ and circumference of its base is 220cm. Find the volume of the cylinder.

Answer 1

given,
circumference=220cm
2πr=220.................................(1)
2×22/7×r=220
r=220×7/22×2
r=35cm
CSA=4400cm²
2πrh=4400
220×h=4400................(from (1))
h=4400/220
h=20cm
volume=πr²h
=22/7 × 35×20
=22×35×20/7
=22×5×20
=2200cm³

Answer 2

Answer:

$77000 cm^3$

Step-by-step explanation:

Circumference of base = $2\pi r$

Since we are given that Circumference of base =220 cm

So, $2\pi r=220$

$2\times \frac{22}{7} r=220$

$r=220 \times \frac{7}{22 \times 2}$

$r=35 cm$

Curved surface area of cylinder = $2\pi r h$

So, Curved surface area of cylinder = $4400 cm^2$

$2\pi r h = 4400 cm^2$

$2\times \frac{22}{7}\times 35\times h = 4400 cm^2$

$h = 4400 \times \frac{7}{22 \times 2 \times 35}$

$h =20$

Volume of cylinder = $\pi r^{2}  h$

                                =$\frac{22}{7} \times 35^2  \times 20$

                                =$77000 cm^3$

Hence the volume of cylinder is $77000 cm^3$