Question

The ratio of lateral surface area to the total surface area of a cylinder with base diameter 1.6 m and height 20 cm is
(a)1 : 7
(b)1 : 5
(c)7 : 1
(d)8 : 1

Answer 1

Answer:

The ratio of lateral surface area to the total surface area of cylinder is 1 : 5 .

Among the given options option (b) 1 : 5  is the correct answer.

Step-by-step explanation:

Given :  

Height of the cylinder ,h = 20 cm

Diameter of a cylinder = 1.6 m

Radius of a cylinder, r = 1.6 /2 = 0.8 m = 0.8 × 100 m = 80 cm

[ 1m = 100 cm]

Ratio of lateral surface area to the total surface area of cylinder

S1 : S2 = 2πrh : 2πr(r + h)

S1 / S2 = h/(r + h)

S1 / S2 = h/(r + h)

S1 / S2 = 20/(80 + 20)

S1 / S2 = 20/100

S1 / S2 = ⅕  

S1 : S2 = 1: 5  

Hence, the ratio of lateral surface area to the total surface area of cylinder is 1 : 5 .

HOPE THIS ANSWER WILL HELP YOU….

 

Answer 2

REFER TO THE ATTACHMENT:-