Question : The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are:
Option 1: CSA – 350 cm2; TSA – 500 cm2
Option 2: CSA – 320 cm2; TSA – 480 cm2
Option 3: CSA – 412 cm2; TSA – 544 cm2
Option 4: CSA – 308 cm2; TSA – 462 cm2
Correct Answer: CSA – 308 cm 2 ; TSA – 462 cm 2
Solution :
The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are:
Given,
radius($r$) = 7 cm
We know,
Curved surface area (CSA) = $2πr^2$
⇒ CSA = $2\times\frac{22}{7}\times7\times7$
⇒ CSA = 308 cm
2
Total surface area (TSA) = $3πr^2$
⇒ TSA = $3\times\frac{22}{7}\times7\times7$
⇒ CSA = 462 cm
2
Hence, the correct answer is CSA – 308 cm
2
; TSA – 462 cm
2
.
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