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 cm2; TSA – 462 cm2
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 cm2 Total surface area (TSA) = $3πr^2$ ⇒ TSA = $3\times\frac{22}{7}\times7\times7$ ⇒ CSA = 462 cm2 Hence, the correct answer is CSA – 308 cm2; TSA – 462 cm2.
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Question : What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 3850 cm2
Option 2: 3704 cm2
Option 3: 3750 cm2
Option 4: 3675 cm2
Question : The total surface area of a hemisphere is 462 cm2. The diameter of this hemisphere is:
Option 1: 28 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 14 cm
Question : The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:
Option 1: 280 cm2
Option 2: 250 cm2
Option 3: 300 cm2
Option 4: 220 cm2
Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.
Option 1: 2772 cm2 and 4158 cm2
Option 2: 3772 cm2 and 5158 cm2
Option 3: 4770 cm2 and 4238 cm2
Option 4: 3072 cm2 and 4058 cm2
Question : What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm2?
Option 1: 10.5 cm
Option 2: 3.5 cm
Option 4: 10 cm
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