Question

Find the ratio of tsa and lsa of a cylinder whose radius is 20 cm and height is 60 cm?

Answer 1

Answer:4:3

Step-by-step explanation:

Answer 2

$\large\underline\pink{Given:-}$

• Radius of cylinder = 20cm
• Height of cylinder = 60cm

$\large\underline\pink{To find:-}$

• Fine the ratio total surface area and lateral surface area of a cylinder ....?

$\large\underline\pink{Solutions:-}$

• Radius of cylinder = 20cm
• Height of cylinder = 60cm

TSA of the cylinder : ISA of the cylinder

$\: \: \: \: \: \leadsto \: \: \frac{{2} \pi \: r \: {(r \: + \: h)}}{{2} \: \pi \: r \: h}$

$\: \: \: \: \: \leadsto \: \: \frac{r \: + \: h}{h}$

$\: \: \: \: \: \leadsto \: \: \frac{{20} \: + \: {60}}{60}$

$\: \: \: \: \: \leadsto \: \: \frac{80}{60}$

$\: \: \: \: \: \leadsto \: \: \frac{4}{3}$

Hence, the ratio total surface area and lateral surface area of a cylinder is 4 : 3

$\large\underline\pink{More \: Information:-}$

Volume of cylinder ( Area of base × height ).

= (πr²) × h

= πr²h

Curved surface = ( Perimeter of base ) × height.

= (2πr) × h

= 2πrh

Total surface are = Area of circular ends + curved surface area.

= 2πr² + 2πrh

= 2πr(r + h)

Where, r = radius of the circular base of the cylinder.

h = height of cylinder.