Question

curved surface area of a solid hemisphere wooden block is 122cm2 finds its total surface area

Answer 1

Step-by-step explanation:

We know that,

The Curved Surface Area of the solid hemisphere = 2πr² ... where r is the radius of the solid hemisphere

∴ 2πr² = 122

⇒ 2 × × r² = 122

⇒ r² = [122 × 7]  / [2 × 22]

⇒ r² = 854 / 44

⇒ r = √19.40

⇒ r = 4.4 cm

Now,

The formula of the total surface area of a solid hemisphere is given by,

T.S.A of a solid hemisphere = 3πr²

Substituting the value of r in the above formula, we get

T.S.A of the solid hemisphere = 3 × × 4.4² = 182.53 cm² ≈ 183 cm²

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Answer 2

Curved surface area of hemisphere= 2pier^2
Total surface area of hemisphere = 3pier^2
Given that,
Curved surface area = 122cm^2
2pier^2 = 122cm^2
=> pier^2 = 61cm^2
r ^2= 61/pie
r^2= 19.409
r = 4.405 cm
Now we have the value of r so we can find the total surface area
=>3pier^2
3pie(4.405)^2
3pie(19.409)
58.227*pie
=> 182.999
183
Total surface area of the hemisphere is 183

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