Question

a hemispherecal bowl of internal radius 15cm contains a liquid the liquid is to be filled into cylindrical shaped bottles of diameter 5cm and height 6cn how many bottles are necessary to empty the bowl

Answer 1

volume of hemispherical bowl is 2*3.14*15*15
volume of cylindrical bottle 3.14*2.5*2.5*6
no. of bottle needed= volume of hemispherical bowl÷volume of cylindrical bottle

Answer 2

radius of hemispherical ball = 15cm

volume of ball = 2/ 3* ( πr^3)

= 2/ 3 * ( 22 × (15)^3)/ 7

= 148500/ 21 cm^2

diameter of cylindrical bottle= 5cm

radius = 5 ÷ 2 = 2.5cm

height = 6cm

volume of cylindrical bottle

= πr^2h = 22 × (2.5)^2 ×6/ 7

= 825/ 7

number of bottles required to empty the ball

= (148500/ 21 ) ÷ (825/ 7)

= 148500× 7/ 21 × 825 = 60 bottles

Answer:
________
60 bottles are required to empty the ball.