Question

circumference of the edge of hemispherical bowl is 132cm.find the capacity of the bowl.

Answer 1

first we need to know about radius ..so,

circumference=132 cm
2πr = 132 cm
2 × 22/7× r = 132
44/7 x r = 132
r= 132 x 7/44
r = 21


volume of hemisphere = 2/3 πr³
=2/3 x 22/7 x 21x21x21
=44x 441
=19404 cm³ (ans)

Answer 2

Given : Circumference of the edge of hemispherical bowl is 132cm

To find : The capacity of the bowl.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the capacity of the bowl)

Let, the radius of the hemispherical bowl = r cm

So, the circumference of the edge of the bowl :

= 2 × π × r

= 2πr cm

According to the data mentioned in the question,

2πr = 132

r = 132 × (1/2) × (7/22)

r = 21

So, the radius of the hemispherical bowl = r cm = 21 cm

Now, the capacity (volume) of the bowl is :

= (2/3) × π × (radius)³

= (2/3) × (22/7) × (21)²

= 19404 cm³

(This will be considered as the final result.)

Hence, the capacity of the bowl is 19404 cm³.