DWACRA woman wants to make candles out of a wax block of dimensions 60 cm

DWACRA woman wants to make candles out of a wax block of dimensions 60 cm,
35 cm, and 22 cms. The number of cylindrical candles that can be made with diameter
7 cms and height 4 cms is (Take ! = 22/7)

  1. 75
  2. 150
  3. 300
  4. 400
Anurag Mishra Professor Asked on 19th April 2016 in Maths.
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1 Answer(s)

Answer: (3) 300

Solution:-
The dimensions of wax bock = 60 cm, 35 cm and 22 cm
Then, the volume wax block = 60 x 35 x 22
= 46200 cm3

The diameter of candle = 7 cm
Then, the radius of candle = 7/2 = 3.5 cm
The height of cylindrical candle = 4 cm

So, the volume of a candle = 22 x (3.5)2 x 4/7
= 22 x 3.5 x .5 x 4
= 154 cm3

Then, number of candles in a wax block = 46200/154
= 300

So, the number of cylindrical candles that can be made with diameter 7 cms and height 4 cms is 300.

Hence, the correct answer is option (3) 300.

Anurag Mishra Professor Answered on 20th April 2016.
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