the volume of cylinder is 39600 cm ³ and height is 14 cm. Find the lateral surface area and total surface area
Answers
Answer:
Step-by-step explanation:
Right cylinder
Solve for lateral surface
AL≈2639.47cm²
h Height
14
cm
V Volume
39600
cm³
h
r
h
r
r
h
A
b
Using the formulas
AL=2πrh
V=πr2h
Solving forAL
AL=2hπV
h=2·14·π·39600
14≈2639.46886cm²
Given
Volume of Cyclinder is 39600cm³
height of cylinder is 14cm
To find
Lateral surface area and total surface area of the cylinder.
Since,volume is given so,we first apply formula for volume of Cyclinder and find radius of the cylinder.
Volume of cylinder=πr²h
↦Volume of cylinder= 22/7×r²×14
↦39600= 22×r²×2
↦39600= 44r²
↦r²=39600÷44
↦r²=900
↦r=√900
↦r=30
hence,radius of Cyclinder is 30cm
Now,we have to find its total surface area and lateral surface area.
- Lateral surface area of Cyclinder=2πrh
- Total surface area of Cyclinder=2πr(r+h)
Lateral surface area of Cyclinder=2×22/7×30×14
=44/7×30×14
=44×30×2
=44×60
=2640cm²
Total surface area of Cyclinder=2×22/7×30(30+14)
=44/7×30×44
=44/7×1320
=58080/7
=8297.14cm²