Question

. The curved surface area of a cylinder of height 20 cm is 1760

.

Find its volume​

Answer 1

Step-by-step explanation:

Given:-

The curved surface area of a cylinder of height 20 cm is 1760 .

To find:-

Find its volume.

Using formula:-

• Curved surface area of a cylinder=2πrh sq.units
• Volume of the cylinder=πr²h cubic units

Solution:-

The height of a cylinder(h)=20 cm

Curved surface area of the cylinder=1760 cm²

=>2πrh=1760

=>2(22/7)r(20)=1760

=>r=(1760×7)/(2×22×20)

=>r=1760×7/880

=>r=2×7

=>r=14 cm

radius of the cylinder=14 cm

Volume of the cylinder=πr²h cubic units

=>(22/7)×14²×20 cm³

=>(22×14×14×20)/7 cm³

=>22×14×2×20 cm³

=>880×14 cm³

=>12320 cm³

Answer:-

The volume of the cylinder is 12320 cubic cm

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Given:

Curved surface area of a cylinder =1760

Height of cylinder=20cm

To Find :

Volume of the cylinder

Formula used here :

$\bold{\red{\boxed{Curve\: surface\: area \:of \:Cylinder=2\pi \: rh}}}$

$\bold{\pink{\boxed{Volume\: of\: Cylinder=\pi {r}^{2} h}}}$

According to the Question:

$\pi \: rh = 1760$

$= > 2 \times \frac{22}{7} \times r \times 20 = 1760$

$= > \frac{44}{7} \times r = \frac{1760}{20}$

$= > r = \frac{1760}{20} \times \frac{7}{44}$

$= > 88 \times \frac{7}{44} = 2 \times 7 = 14cm$

Hence ,radius of the cylinder is 14 cm

Finding volume of cylinder:-

$\pi {r}^{2} h = \frac{22}{7} \times {(14)}^{2} \times 20$

$= \frac{22}{7} \times 196 \times 20$

$= 22 \times 28 \times 20$

$= 28 \times 440 = {12320}^{3} cm$

Therefore,volume of the cylinder is 12320 cubic.cm