Question

hemispherical bowl of internal radius 9 cm is full of water the water is to be filled in cylindrical shape small bottles each of diameter 3 cm and height 4 cm how many bottles are needed two empty the bowl ​

Answer 1

Step-by-step explanation:

Given:

• Radius of hemispherical bowl=9cm

• Diameter of cylibdrical shape bottle=3cm

• Radius of cylindrical shape bottle=

$\frac{1}{2} \times 3 = 1.5cm$

•And height of cylindrical shape bottle=4cm

According to the question

Volume of Liquid = volume of hemispherical bowl

$\frac{2}{3}\pi \times r {}^{3} \\ = \frac{2}{3} \times \frac{22}{7} \times 9 \times 9 \times 9 = 1527.42 \: cm {}^{3}$

Volume of one cylindrical bottle:

$\pi \times r {}^{2} \times h \\ = \frac{22}{7} \times 1.5 \times 1.5 \times 4 = 28.28 \: cm {}^{3}$

.°. Number of bottles needed:

$\frac{volume \: of \: hemispherical \: bowl}{volume \: of \: each \: cylindrical \: shaped \: bottle} \\ = \frac{1527.42}{28.28} = 54.01 = 54$

Therefore, numbee of bottles needed =approx 54