Question

70. A hemispherical bowl of radius 9 cm contains a liquid. This
be filled into cylindrical small bottles of diameter 3 cm and he
(d)
(d)
How many bottles will be needed to empty the bowl?
(a) 27
(b) 35
(c) 54
71. A cone and a hemisphere have equal bases and equal volume
ratio of their heights is
(a) 1:2
(b) 2:1
(c) 4:1
72. A cone, a hemisphere and a cylinder stand on equal bases and
same height. The ratio of their volumes is
(a) 1:2:3 (b) 2:1:3 (c) 2:3:1 (d) 3:2
73. If the volume and the surface area of a sphere are numerically desa
then its radius is
(a) 1 unit (b) 2 units (c) 3 units​

Answer 1

Step-by-step explanation:

ANSWER

According to the problom

Given that

Radius of hemispherical bowl = 9 cm

Hence the volume of bowl =

3

2

πr

2

Implies that

=

3

2

×

7

22

×9×9×9

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

==

7

22

×1.5×1.5×4cm

3

Let the number of bottle be (n)

Implies that

=n×

7

22

×9×9×9

implies that

=n=

3×1.5×1.5×4

2

×9×9×9

implies that

n=5

Hence the number of bottle is 54.