0. The base area and volume of a cylinder are
154 cm² and 539 cm respectively. Find the
curved surface area and total surface area of the
cylinder.
Answers
Answer:
539 cm³ is your answer
Step-by-step explanation:
Since curved surface area of a cyclinder = 154 cm2 [given]
Total surface area of cyclinder = 3 × curved surface area
2πrh + 2πr2 = 3 × 154
154 + 2πr2 = 462
2πr2 = 462 - 154 = 308
r2 = 308 × 7 / 2 × 22 = 49
r = 7 cm
Now, 2πrh = 154
2 × 22 / 7 × 7 × h = 154
h = 154 / 44 = 3.5 cm
∴ Volume of cyclinder = πr2h
= 22 / 7 × 7 × 7 × 3.5 = 539 cm3
Step-by-step explanation:
The base area = 154 cm²
Volume = 539 cm²
Curved surface area of cylinder (formula) = 2 × pie × r × h
(r= radius, h = height)
= 2 × 22/7 × r × h [here we don't know the value of r and h ]
to find = value of r & h
therefore the base area is given = 154 cm² = pie × r²
154 cm² = 22/7 × r × r
154 ×7 = 22 × r × r
1078 = 22 × r × r
1078/22 = r×r
539 = r × r
root of 539 = root of r²
23.21= r
therefore we got the value of r = 23.21
to get the value of h ( take the volume of cylinder)
= pie × r² × h
=22/7 × 23.21 ² × h = 539
=22/7 × 538.70 × h = 539
=22 × 538.70 × h = 539/7
=22 × 538.70 × h = 77
=11851.4 × h = 77
= 11851.4 /7 = h
= 1693.057 = h (while taking this value take only two values after decimal point )
C.S.A of cylinder = (as per given up)= 2 × 22/7 ×23.21 × 1693.057
= 247002.504 is your answer
Hope you got it........