Question

77. A hemispherical bowl of internal diameter 24 cm is full of liquid. The liquid is to be filled into
cylindrical shaped bottles each of the radius 2 cm and height 6 cm. How many bottles are needed
to empty the bowl?
please solve it ......
step by step......​

Answer 1

Given :-

• Internal diameter of hemispherical bowl = 24 cm

• Radius of the cylindrical shaped bottle = 2 cm

• Height of the cylindrical shaped bottle = 6 cm

To Find :-

• Number of bottles needed to empty the bowl.

Solution :-

Let number of bottles be n.

Internal radius of hemispherical bowl = 24/2 = 12 cm

$\bf Volume \ of \ hemisphere = \dfrac{2}{3} \pi r^3$

$\longrightarrow \sf \dfrac{2}{3} \times \pi \times 12 \times 12 \times 12 \\\\\longrightarrow 2 \times \pi \times 12 \times 12 \times 4 \\\\\longrightarrow 1152 \pi$

$\bf Volume \ of \ cylinder = \pi r^2h$

$\longrightarrow \sf \pi \times 2 \times 2 \times 6 \\\\\longrightarrow 24 \pi$

According to the question :-

Volume of hemispherical bowl = n × Volume of one cylindrical shaped bottle

$\longrightarrow \sf 1152 \pi = n \times 24\pi \\\\\longrightarrow n = \dfrac{1152}{24} \\\\\longrightarrow \bf n = 48$

Number of bottles to empty the bowl :- 48

Answer 2

Answer:

According to the problem  

Given that  

Radius of hemispherical bowl = 9 cm

Hence the volume of bowl =  2 πr  ^2

                                                  3  

                                               

Implies that  

=  2×22×9×9×9

   3      7

   

Implies that  

=1527.42cm ^3

 

Since height of the bottle (h) = 4cm  

and Diameter of the cylindrical bottles=3cm

Implies that  

radius = 1.5cm

Hence ,  

the volume of the cylindrical bolltle = πr ^2 h

== 22×1.5×1.5×4cm^3

     7

   

Let the number of bottle be (n)

Implies that  

=n×22×9×9×9

        7

implies that  

=n=        2×9×9×9

             3*1.5*1.5*4

implies that  

n=5

Hence the number of bottle is 54

Step-by-step explanation:

but why you said me bhaiya and when you are going to mail me

brainliest mat karo chalega