the csa of the cylinder is 176m2 and it's base area is 38.5 m find the volume?
Answers
CSA of cylinder = 176m2
Base area(pir2) =38.5
Base area=pir2
38.5=pir2
38.5=22/7 x r2
38.5x7/22 = r2
269.5/22=r2
2695/220=r2
12.25=r2
r=underoot 12.25
r=3.5m
Now CSA of cylinder=2pirh
176=2x 22/7 x 3.5 x h
176=2 x 22 x 0.5 x 3.5 x h
176=2 x 11 x 3.5 x h
176=22 x 3.5 x h
176=77 x h
h=176/77
h=2.28
Volume of cylinder = 1/3pir2h
= 1/3 x 22/7 x 3.5 x 3.5 x 2.28
=1/3 x 22 x 0.5 x 3.5 x 2.28
= 29.26 m3
Hence volume of cylinder is 29.26 me.
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Answer:
CSA of the cylinder = 176m²
area of its base = 38.5
Step-by-step explanation:
Area of circle = 38.5
πr²= 385/ 10
22/7 × r²= 385/10
r²= 385 × 7/ 22 × 10
r² = 7 × 7 / 2 × 2
r² = 49/ 4
taking square root on both side , we get
r = 7/ 2
Now , CSA of a cylinder = 176m²
2πrh = 176m²
2 × 22/7 ×7/2 × h = 176m²
With cutting , we get
22 × h= 176m²
h = 176/ 22
h = 8m
Now, the volume of cylinder = πr²h
= 22/7 × 7/2 × 7/2 × 8
= 44 m³