Question

a hemispherical bowl of internal radius 15 CM contains a liquid the liquid is to be filled into cylindrical shape of diameter 5 cm and height is 6 cm how many bottles are necessary to empty the bowl??



Plz give the solution

Answer 1

Answer:

60

Step-by-step explanation:

Radius of hemisphere = 15 cm

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

                                      = $\frac{2}{3} \pi (15)^{3}$

                                      = $2250 \pi$

Diameter of cylinder = 5 cm

Radius of cylinder = diameter /2 = 5 /2 = 2.5 cm

Height of cylinder = 6 cm

Volume of cylinder = $\pi r^{2} h$

                                 = $\pi (2.5)^{2} \times 6$

                                 = $37.5\pi$

Number of bottles required to empty bowl :

= $\frac{\text{volume of hemisphere}}{\text{volume of cylinder}}$

= $\frac{2250 \pi}{37.5\pi}$

= $60$

Thus the number of bottles required to empty the bowl is 60 .

Answer 2

Step-by-step explanation:

number of bottles required to empty the bowl is 60