Question

filtered water has been stored in a cylindrical Jar of radius 20 cm and height 90 cm how many water of radius 5 cm and height in centimetre can be filled from this water​

Answer 1

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

Volume of sphere = \frac{4}{3} \pi r^3 =\frac{4}{3} \pi \times (\frac{7}{2})^3

3

4

πr

3

=

3

4

π×(

2

7

)

3

Volume of Cylinder= πr²h = π(7)²h

Drop in Total volume Jar = Volume of Sphere

\frac{4}{3} \pi \times (\frac{7}{2})^3=\pi (7)^2 h

3

4

π×(

2

7

)

3

=π(7)

2

h

\frac{4}{3}\times (\frac{7}{2})^3=(7)^2 h

3

4

×(

2

7

)

3

=(7)

2

h

[tex]h=\frac{7}{6}/tex]

Hence the water will go down by 7/6 when the sphere is removed from the jar

Answer 2

144 bottles can be filled from this water

Step-by-step explanation:

Radius of cylinder=r=20 cm

Height of cylinder=90 cm

Radius of bottle=5 cm

Height of bottle=10 cm

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

Where r= Radius of cylinder

h=Height of cylinder

Using the formula

Volume of water in  cylinderical jar=$\pi\times (20)^2\times 90$ cubic cm

Volume of water in 1 bottle=$\pi (5)^2\times 10 cm^3$

Number of bottles=$\frac{volume\;of\;water\;in\;cylinderical\;jar}{volume\;of\;water\;in\;each\;bottle}$

Number of bottles=$\frac{\pi\times (20)^2\times 90}{\pi\times (5)^2\times 10}=144$

Hence, 144 bottles can be filled from this water.

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