Question

if the total surface area of a hemisphere is 462cm​

Answer 1

Answer:

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Its volume is 718.67 cm^3

Step-by-step explanation:

Formula of total surface area of hemisphere : 3 \pi r^2

So, total surface area of hemisphere = 3 \times \frac{22}{7} \times r^2

We are given that the total surface area of a solid hemisphere is 462 sq cm.

So, 3 \times \frac{22}{7} \times r^2=462

r^2=462 \times \frac{7}{22 \times 3}

r=\sqrt{462 \times \frac{7}{22 \times 3}}

r=7

So, Radius of hemisphere is 7 cm.

Volume of hemisphere = \frac{2}{3} \pi r^3

= \frac{2}{3} \times \frac{22}{7} \times (7)^3

= 718.67 cm^3

Hence its volume is 718.67 cm^3

Answer 2

Answer:

Solution:-

Total surface area of hemisphere = 462 sq cm

Total surface area of hemisphere = 3πr²

⇒ 3πr² = 462

⇒ 3*22/7*r² = 462

⇒ 66r² = 462*7

⇒ r² = 3234/66

⇒ r² = 49

⇒ r = 7 cm

Now, the volume of hemisphere = 2/3πr³

= 2/3*22/7*7*7*7

Volume of hemisphere = 718.67 cu cm

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