Question

It costs Rs. 2200 to paint the inner curved surface of cylindrical vessel 10 m if the cost of

painting is at the rate of Rs. 20 per m2

; find:

(i) inner curved surface of the vessel (ii) radius of the base

(iii) capacity of the vessel. (iv) Outer curved surface

area​

Answer 1

Answer:

Total cost of point=2200Rs.

cost of point/m

2

=20Rs.

depth of vessel=10m

Inner curved surface area painted=

cost/m

2

totalcost

=

20

2200

=110m

2

Now, 2πrh=110m

2

2×

7

22

×r×10=110

r=

2×22×10

110×7

=1.75m

∴ radius of the base is 1.75m.

capacity of vessel=πr

2

h=

7

22

×1.75×1.75×10

=96.25m

3