If a right circular cone of height 24 cm has a volume of 1232 cm3 and

1.	If a right circular cone of height 24 cm has a volume of 1232 cm3 and the radius of cone is equal to the radius of hemisphere then find the total surface area of hemisphere.1. 462 cm22. 605 cm23. 616 cm24. 512 cm2
Answer» Correct Answer - Option 1 : 462 cm² Given :- Height of cone = 24 cm Volume of cone = 1232 cm2 Radius of cone = Radius of hemisphere Concept :- Volume of cone = (1/3)πr2h Total surface area of hemisphere = 3πr2 Calculation :- ⇒ 1232 = (1/3) × (22/7) × r2 × 24 ⇒ r2 = (1232 × 3 × 7)/(22 × 24) ⇒ r2 = 49 ⇒ r = 7 Total surface area of hemisphere = 3πr2 ⇒ Total surface area of hemisphere = 3 × (22/7) × (7)2 ⇒ Total surface area of hemisphere = 462 cm2 ∴ Total surface area of hemisphere is 462 cm2

If a right circular cone of height 24 cm has a volume of 1232 cm3 and the radius of cone is equal to the radius of hemisphere then find the total surface area of hemisphere.1. 462 cm22. 605 cm23. 616 cm24. 512 cm2

Answer» Correct Answer - Option 1 : 462 cm²

Given :-

Height of cone = 24 cm

Volume of cone = 1232 cm2

Radius of cone = Radius of hemisphere

Concept :-

Volume of cone = (1/3)πr2h

Total surface area of hemisphere = 3πr2

Calculation :-

⇒ 1232 = (1/3) × (22/7) × r2 × 24

⇒ r2 = (1232 × 3 × 7)/(22 × 24)

⇒ r2 = 49

⇒ r = 7

Total surface area of hemisphere = 3πr2

⇒ Total surface area of hemisphere = 3 × (22/7) × (7)2

⇒ Total surface area of hemisphere = 462 cm2

∴ Total surface area of hemisphere is 462 cm2

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If a right circular cone of height 24 cm has a volume of 1232 cm3 and the radius of cone is equal to the radius of hemisphere then find the total surface area of hemisphere.1. 462 cm22. 605 cm23. 616 cm24. 512 cm2

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