Question

e) A big bowl in the form of a hemisphere has capacity of 65.4885 liters. Find its total surface area.​

Answer 1

Given data : A big bowl in the form of a hemisphere has capacity of 65.4885 litres.

To find : Find the total surface area of the bowl ?

Solution : Here, a/c to given data;

➜ Capacity of the bowl = 65.4885 liters

We know that;

➜ 1 m³ = 1000 liter

Hence,

➜ Capacity of the bowl = 65.4885/1000 m³

➜ Capacity of the bowl = 0.0654885 m³

Hence, volume of the bowl is 0.0654885 m³.

Now, by formula of volume of hemisphere;

➜ volume of the bowl = 2/3 πr³

➜ 0.0654885 = 2/3 * 22/7 * r³

➜ 0.0654885 = 44/21 * r³

➜ r³ = (0.0654885/44) * 21

➜ r³ = 0.001488375 * 21

➜ r³ = 0.031255875

➜ r = ³√0.031255875

➜ r = 0.315 m

{Here, r is radius}

Now, by formula of the total surface area of the hemisphere;

➜ Total surface area of the bowl = 2πr²

➜ Total surface area of the bowl = 2 * 22/7 * (0.315)²

➜ Total surface area of the bowl = 44/7 * 0.099225

➜ Total surface area of the bowl = 44 * 0.014175

➜ Total surface area of the bowl = 0.6237 m²

Answer : Hence, total surface area of the bowl is 0.6237 m².

{More info : 1 m² = 10000 cm

• 0.6237 m² = 0.6237 * 10000 cm²
• 0.6237 m² = 6237 cm²}

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Answer 2

Answer:

A big bowl in the form of a hemisphere has capacity of 65.4885 liters. find it's total surface area