Answer and explanation:
Volume of a cylinder = π r² h
Surface area of a cylinder = 2π r h + 2π r².
Since volume of cylinder = surface area of cylinder
π r² h=2π r h + 2π r²
Solving 14)
Given height x and base 6ft, radius will be 3ft
π r² h=2π r h + 2π r²
22/7*3²*x= 2*22/7*3*x+2*22/7*3²
=22/7*9*x= 2*22/7*3*x+2*22/7*9
= 28.286x=18.857x+2*28.286
=28.286x=18.857x+56.572
=9.429x=56.572
x=5.999ft( x cannot be a negative value)
15) Given height x and base 10 m, radius will be 5m
π r² h=2π r h + 2π r²
22/7*5²*x= 2*22/7*5*x+2*22/7*5²
78.5714x= 31.429x+157.1428
47.1424x=157.1428
x=3.333m( because x cannot be negative)