the radius of a right circular cylindrical pole isn28cm and height is 5.8m find the cost of polishing it's .C.S.A at the rate of 2₹ sq.m
Answers
Given :
- The radius of a right circular cylindrical pole is 28 cm.
- The height of a right circular cylindrical pole is 5.8 m.
To find :
- The cost of polishing it's .C.S.A at the rate of 2₹ m² =?
Step-by-step explanation :
It is Given that,
The radius of a right circular cylindrical pole is 28 cm.
The height of a right circular cylindrical pole is 5.8 m Or 580 cm.
Now,
As We know that,
Curved Surface Area of Cylinder = 2πrh
Substituting the values in the above formula, we get,
= 2 × 22/7 × 28 × 580
= 2 × 22 × 4 × 580
= 176 × 580
= 102,080.
Now, As question is saying we have to find it area in metre so 102,080 cm² in metre = 10.208.
Therefore, Curved Surface Area of Cylinder = 10.208 m².
Now,
The cost of polishing it's .C.S.A at the rate of 2₹ sq.m [Given]
So,
Curved Surface Area of Cylinder × ₹ 2
Substituting the values, we get,
= 10.208 × 2
= 20.416.
Therefore, the cost of polishing it's .C.S.A at the rate of ₹ 2 per m² = ₹ 20.416
Given :-
- Radius of the right cylindrical pole = 28 cm
- Height of the cylinder = 5.8 meters
Required to find :-
- Cost of polishing it's CSA ?
Formula used :-
Units Conversion :-
Before solving this question we need to convert some units from one unit to another unit .
Here, we need to convert the height from metres to centi-meters .
So,
As we know that ,
1 meter = 100 centi-meters
So,
5.8 m = ? centi-meters
=> 5.8 x 100
=> 580 centi-meters
Hence,
- Height of the cylinder = 580 cm
Solution :-
Given information :-
- Radius of the cylinder = 28 centi-meters
- Height of the cylinder = 580 centi-meters
We need to find the cost of. polishing it's CSA at the rate ₹2 per m²
In order to find the cost of polishing it's CSA , first we need to find it's CSA .
So,
Using the formula ;
Let, take π = 22/7
Substituting the values ,
Here ,
We need to convert this CSA from cm² into m²
So,
As we know that ;
1 meter = 100 centimetres
squaring on both sides
( 1 meter )² = ( 100 centimetres )²
1 m² = 10,000 cm²
Hence,
1 cm² = 1/10,000 m²
So,
1,02,080 cm² = ? m²
This implies,
=> 102080/10000
=> 10.208 m²
Hence,
- CSA of the cylindrical = 10.208 m²
However,
It is also mentioned that ,
Cost of polishing the CSA oat the rate per m² = ₹ 2
So,
Cost of polishing 10.208 m² = ?
=> 10.208 x 2
=> ₹ 20.416
=> ₹ 20 ( approximately )
Therefore,
Cost of polishing it's CSA = ₹20 ( approximately )