the total surface area of a right circular cylinder is 880sq.cm. If its diameter is 20 cm, find the height of the cylinder
Answers
Answered by
18
Answer:
Right cylinder
Solve for height
h≈4.01cm
d Diameter
20
cm
A Surface area
880
cm²
Using the formula
A=2πd
2h+2π(d
2)2
Solving forh
h=A
2πd
2﹣d
2=880
2·π·20
2﹣20
2≈4.00563cm
Answered by
18
Answer:
Step-by-step explanation:
Let r and h be the radius and height of the solid right circular cylinder respectively.
Let S be the total surface area of the solid right circular cylinder.
Given that r=10cm and S=880cm2
Now, S=880 ⇒2πr[h+r]
2×722×7×10(h+10)=880
⇒h+10=2×22×10880×7
⇒ h+10=14
Thus, the height of the cylinder, h=4cm
Now, the curved surface area, CSA is
2πrh=2×722×10×4=71760
Thus, the curved surface area of the cylinder =25173sq.cm.
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