What is the cost price of steel coating of a
cylindrical iron rod at the rate of Rs.3.5per
100cm2
?
(a) Rs.79.20
(b) Rs.89.20
(c) Rs.85.56
(d) Rs.71.28
Answers
Answer:
Answer is(B)
89.20
Hope it's help you.
Solution :-
Let us assume that, height of each cylindrical rod is h cm.
so,
→ Volume of big iron ball = Volume of 4 cylindrical rods.
→ (4/3) * π * (R)³ = 4 * π * (r)² * h
4π will be cancel from both sides,
→ (36/2)³ = 3 * (12/2)² * h
→ 18 * 18 * 18 = 3 * 6 * 6 * h
→ 6 * 3 * 3 = h
→ h = 54 cm.
then,
→ CSA of a cylindrical rod = 2πrh = 2 * 3.14 * 6 * 54 = 2034.72 cm².
therefore,
→ 100cm² of area cost = Rs.3.5
→ 1 cm² of area cost = (3.5/100)
→ 2034.72 cm² of area cost = (3.5 * 2034.72) / 100 = Rs.71.21 (Ans.)
Hence, cost price of steel coating of a cylindrical iron rod is Rs.71.21 .
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