Question

Shown below is a hemispherical bowl with an inner radius of 15 cm.
* The capacity of the bowl is
litres.
(Use π = 3.14 and round your answer to the nearest litre.)​

Answer 1

Given :

• Radius of hemispherical bowl = 15 cm.

To find :

• The capacity of the bowl is litres =?

Step-by-step explanation :

We know that,

Volume of hemispherical bowl = 2/3πr³

Substituting the values in the above formula, we get,

= 2/3 x 3.14 x 15 x 15 x 15 cm³

= 2 x 3.14 x 1125 cm³

= 7065 cm³

Now, the capacity of of bowl in litres,

As we know that,

1 cm³ = 1/1000 ltr

Substituting the values in the above formula, we get,

= 7065 × 1/1000 ltr

= 7065/1000 ltr

= 7.065 ltr.

Therefore, The capacity of the bowl = 7.065 litres.

Additional Information :

• 1 cm³ = 1 milliliter

• 1 cm³ = 1/1000 litre

• Volume of hemispherical bowl = 2/3πr³

Answer 2

$\huge\sf\pink{Answer}$

☞ 17.065 litre

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ Radius of hemisphere Bowl is 15 cm

✭ Value of π to be used = 3.14

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

➜ The capacity of the bowl(in litres)

$\rule{110}1$

$\huge\sf\purple{Steps}$

❍ Volume of a hemisphere is given by,

$\underline{\boxed{\sf{\green{\dfrac{2}{3}\pi r^3}}}}$

Substituting the given values,

➝ $\sf\dfrac{2}{3}× 3.14 × 15 × 15 × 15$

➝ $\sf 2 × 3.14 × 1125$

➝ $\sf\red{7065\: cm^3}$

So now let's change it to litres,

✪ $\sf 1\:cm^3 = \dfrac{1}{1000} \: litre$

Substituting the above found value,

➳ $\sf 7065 × \dfrac{1}{1000}$

➳ $\sf\orange{7.065\: litre}$

$\rule{100}1$

$\large\underline{\bullet{\sf{More\: Formulas}}}$

◕ Volume of cylinder = πr²h

◕ Volume of cube = a³

◕ Volume of cuboid = lbh

$\rule{170}3$