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How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?

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0.303 liters

0.323 liters

1.303 liters

0.603 liters

answer is A.

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Detailed Solution

We know that the relation of radius and diameter is given by the following expression:

⇒ Radius = Diameter 2

⇒ Radius = 10 .5 2 cm

⇒ Radius = 5.25 cm → (1)

Now, we know that the volume of a hemisphere is given by:-

⇒ Volume = 23 π r 3 → (2)

,
Now, by using (1) and (2), we will get the volume of the hemisphere as follows:

⇒ V o l u m e = 23 π (5.25) 3

⇒ V o l u m e = 23 × 227 × (5.25) 3

⇒ V o l u m e = 303.1875 c m 3

Now, since we are asked to find the volume in liters and this is cubic cm,
we need to convert the cubic cm into liters using the relation given by:

⇒ 1 c m 3 = 11000 l i t r e s

Since,

⇒ 303.1875 c m 3 = 303.1875 1000 l i t r e s

⇒ 303.1875 c m 3 = 0.3031875 l i t r e s

We can approximate it as,

⇒ 303.1875 c m 3 = 0.303 l i t r e s

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