Question
Download Solution PDFA cylinder of radius 7 cm has a curved surface area of 2200 cm2. Find its total surface area. (Use π = 22/7)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Radius of the cylinder, r = 7 cm.
Curved surface area, CSA = 2200 cm2.
Formula Used:
Curved Surface Area (CSA) = 2πrh
Total Surface Area (TSA) = 2πr(r + h)
Calculation:
Given CSA = 2200 cm2
We know CSA = 2πrh
Using π = 22/7
⇒ 2200 = 2 × (22/7) × 7 × h
⇒ 2200 = 2 × 22 × h
⇒ 2200 = 44h
⇒ h = 2200 / 44
⇒ h = 50 cm
Now, TSA = 2πr(r + h)
⇒ TSA = 2 × (22/7) × 7 × (7 + 50)
⇒ TSA = 2 × 22 × (57)
⇒ TSA = 44 × 57
⇒ TSA = 2508 cm2
The total surface area of the cylinder is 2508 cm2.
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