Question

a cylinder is open at one end. the external diameter is 15 CM and it's thickness is 3cm if the height of the cylinder is 11cm and if 1cm³ weighs 9 gm., find 1) the capacity of the cylinder 2) weight of metal used in the cylinder (π=3.14)​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

SOLUTION

Thickness of the metal =1.5 cm.

External diameter =12 cm.

∴

External radius (R)

=

12

2

=

6

c

m

.

and then internal radius (r)=6-1.5

=4.5 cm.

Height (h)=84 cm.

∴

Volume of metal used

=

π

R

2

h

−

π

r

2

h

=

π

h

(

R

2

−

r

2

)

=

π

h

(

R

+

r

)

(

R

−

r

)

=

22

7

×

84

(

6

+

4.5

)

(

6

−

4.5

)

c

m

2

=

264

(

10.5

)

(

1.5

)

c

m

2

=

4158

c

m

3

Weight of

1

c

m

3

=

7.5

g

∴

Total weight

=

7.5

×

4158

g

=31185 g =31.185 kg.