A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at N15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for N50.00, how much did she make by selling all the oil?
A
N62.50
B
N35.00
C
N31.00
D
N25.00
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
V\(\pi\)r2h = \(\pi\)(3)2(10) = 90\(\pi\)cm3
V = \(\pi\)(5)2 x 18 = 450\(\pi\)cm3
No of volume = \(\frac{450\pi}{90\pi}\)
= 5
selling price = 5 x N15 = N75
profit = N75 - N50 = N25.00
Source: Myschool Past Questions Archive (Record #30649)