Question

A hemispherical bowl of internal radius
15cm.contain a liquid. The liquid is to be
filled into cylindenical bottles of diameter
5cm and height 6cm. Howmany bottles are
nessary to empty the
bowl​

Answer 1

Answer:

Radius of hemisphere = 15 cm

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

3

2

πr

3

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

3

2

π(15)

3

= 2250 \pi2250π

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} hπr

2

h

= \pi (2.5)^{2} \times 6π(2.5)

2

×6

= 37.5\pi37.5π

Number of bottles required to empty bowl :

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

volume of cylinder

volume of hemisphere

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

37.5π

2250π

= 6060

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

Answer 2

Answer:

This will surely help you