The total surface of a cylinder is 220 sqcm and its height is 6.5cm. Its volume is:
Answers
Answered by
27
given, height of cylinder = 6.5 cm
_______________________________
and total surface area of cylinder
= 220 cm^2
_______________________________
according to question ,
2πr( r + h ) = 220 cm^2
r( r + 6.5 ) = 220 × 7/ 2× 22
r^2 + 6.5r - 35 = 0
r^2 - 3.5r + 10r - 35 = 0
( r - 3.5 )(r + 10 ) =0
r = 3.5 , -10
radius can not be negative .
so take ,positive value of r ,
r = 3.5 cm
volume of cylinder(V) = πr^2h
= 22/7 × (3.5)^2 × 6.5
= 1751.75 / 7
= 250.25 cm^3
therefore, the volume of cylinder=250.25 cm^3
_______________________________
Your Answer: V= 250.25 cm^3
_______________________________
_______________________________
and total surface area of cylinder
= 220 cm^2
_______________________________
according to question ,
2πr( r + h ) = 220 cm^2
r( r + 6.5 ) = 220 × 7/ 2× 22
r^2 + 6.5r - 35 = 0
r^2 - 3.5r + 10r - 35 = 0
( r - 3.5 )(r + 10 ) =0
r = 3.5 , -10
radius can not be negative .
so take ,positive value of r ,
r = 3.5 cm
volume of cylinder(V) = πr^2h
= 22/7 × (3.5)^2 × 6.5
= 1751.75 / 7
= 250.25 cm^3
therefore, the volume of cylinder=250.25 cm^3
_______________________________
Your Answer: V= 250.25 cm^3
_______________________________
Similar questions