Question

find the total surface area curved surface are and volume of a hemisphere of radius 3.5
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Answer 1

Answer:

Total surfacae area of the hemisphere

= 3πr2

= 3 (22/7) x (3.5)2

= 115.5 cm2

Volume of the hemisphere =(2/3)πr3

= (2/3) x (22/7) x (3.5)3

= 89.83 cm3

Answer 2

Answer:

• T.S.A = 115.5 cm²
• C.S.A = 77 cm²
• Volume = 89.83 cm³

Step-by-step explanation:

Given

• Radius of hemisphere (r) = 3.5 cm

To find

• Total surface area
• Curved surface area
• Volume

Solution

Total surface area:

• 3πr²
• 3 × ²²⁄₇ × ⁷⁄₂ × ⁷⁄₂
• ²³¹⁄₂
• 115.5

∴ Total surface area = 115.5 cm²

Curved surface area:

• 2πr²
• 2 × ²²⁄₇ × ⁷⁄₂ × ⁷⁄₂
• ⁴⁴⁄₇ × ⁴⁹⁄₄
• ⁵³⁹⁄₇
• 77

∴ Curved surface area = 77 cm²

Volume:

• ⅔πr³
• ⅔ × ²²⁄₇ × ⁷⁄₂ × ⁷⁄₂ × ⁷⁄₂
• ⁵³⁹⁄₆
• 89.83

∴ Volume = 89.83 cm³