Question

BA hemisphere of radius 60cm is surmounted by a cone of height 120cm a
radius 60em. This solid is immersed in a cylinder containing water such that
it touches the bottom of cylinder as shown in the figure. If the radius of
cylinder is 60cm and the height is 180cm find the volume of remaining water,​

Answer 1

Answer:

Answer:

Volume of Water left in Cylinder = 1131428.57 cm³

Step-by-step explanation:

Given: Height of Cone, h = 120 cm and Radius of Cone, r = 60 cm

Radius of Hemisphere, r = 60 cm

Height of Cylinder, H = 180 cm and Radius of Cylinder, r = 60 cm

To find: Volume of water left in cylinder

Volume of water left in cylinder = volume of cylinder - ( volume

of cone + volume of hemisphere )

= \pi r^2H-(\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3)πr

2

H−(

3

1

πr

2

h+

3

2

πr

3

)

= \pi r^2(H-(\frac{1}{3}h+\frac{2}{3}r))πr

2

(H−(

3

1

h+

3

2

r))

= \frac{22}{7}\times60^2(180-(\frac{1}{3}\times120+\frac{2}{3}\times60))

7

22

×60

2

(180−(

3

1

×120+

3

2

×60))