Total surface area of a hemisphere is 4158cm^2, the diameter of the hemisphere is equal to __________ cm. (Take π = \(\frac{22}{7}\))(a) 40(b) 20(c) 21(d) 42The question was posed to me during an interview.This interesting question is from Surface Area of a Sphere topic in section Surface Areas and Volumes of Mathematics – Class 9

Total surface area of a hemisphere is 4158cm^2, the diameter of the he

1.	Total surface area of a hemisphere is 4158cm^2, the diameter of the hemisphere is equal to __________ cm. (Take π = \(\frac{22}{7}\))(a) 40(b) 20(c) 21(d) 42The question was posed to me during an interview.This interesting question is from Surface Area of a Sphere topic in section Surface Areas and Volumes of Mathematics – Class 9
Answer» Correct OPTION is (d) 42 For explanation I would say: We KNOW that total surface AREA of a hemisphere = 3πr^2 3πr^2= 4158 3 * \(\FRAC{22}{7}\) * r^2 = 4158 r^2 = 441 Hence, r = 21cm Therefore, diameter of hemisphere = 2r = 2 * 21 = 42cm.

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