ivymckinney21
30.11.2020 •
Mathematics
It costs Rs 2200 to paint the inner curved surface of a cylinderical vessel 10 m deep. If the cost of painting is at the rate of Rs 20 per m2, find: (i) radius of the base (ii) inner curved surface area of the vessel (iii)capacity of the vessel (in litres).
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Ответ:
1)110m^2
2)1.75m
3)96.25m^2
Step-by-step explanation:
Rate of painting= The cost to paint it /
inner curved surface area of the vessel
20m^2=(Rs 2200 /inner curved surface area of the vessel)
If we make inner curved surface area of the vessel subject of the formula,
inner curved surface area of the vessel= =(Rs 2200/20)
= 110m^2
2)cost surface area of a cylinder can be calculated using expression below
(2πrh,) then the values was calculated in question 1 as 110m^2
Then from (2πrh=110) we can make "r" subject of the formula
r= 110/(2πh). h=10m deep
r=110/(2×3.14×10)
r= 1.75m
3)(iii)capacity of the vessel (in litres
The capacity of the vessel can be regarded as the volume which equals to πr^2h
From question 2 r=1.75m, and h=10m
Then
πr^2h= 3.142×(1.75)^2 ×10
=96.25m^2
Hence the capacity is 96.25m^2
Ответ:
err... I not that smart! :P
Step-by-step explanation: