A cylindrical glass of 6 cm hright has a radius of 3.5 cm. find the wet surface areaof the glass when water is poured into it.

Asked by Vru23 | 3rd Oct, 2020, 10:52: PM

Expert Answer:

 
 
Here, h = 6cm and r = 3.5 cm.
 
The wet surface area of the glass when water is poured into it
 
= Curved Surface Area of a cylindrical glass  + Area of a base
= 2πrh + πr2 
2πr (h + r)
size 16px equals size 16px 22 over size 16px 7 size 16px cross times size 16px space size 16px 3 size 16px. size 16px 5 size 16px space size 16px cross times size 16px space begin mathsize 16px style left parenthesis 2 straight h plus straight r right parenthesis end style
size 16px equals size 16px 22 size 16px cross times size 16px 0 size 16px. size 16px 5 size 16px cross times size 16px space begin mathsize 16px style left parenthesis 2 cross times 6 plus 3.5 right parenthesis end style
size 16px equals size 16px 22 size 16px cross times size 16px 0 size 16px. size 16px 5 size 16px cross times begin mathsize 16px style left parenthesis 15.5 right parenthesis end style
size 16px equals size 16px 170 size 16px. size 16px 5 size 16px space size 16px cm to the power of size 16px 2
 
Therefore, the wet surface area of the glass when water is poured into it is 170.5 cm2 .

Answered by Yasmeen Khan | 4th Oct, 2020, 01:43: PM