Question
Melting a metal ball of radius 3 units, 27 identical
dice and a ball of radius 1 units are made. What is the side of dice?Solution
The volume of the original metal ball =4/3 π (3)3 = 36 π cubic units The volume of the smaller ball =4/3 π (1)3 =4 π /3 cubic units The total volume of the metal used is equal to the volume of the original ball minus the volume of the smaller ball: Vtotal=36 π -4 π/3 = (108 π-4 π)/3 =104π/3 There are 27 identical dice, so the volume of each die is: = Total volume /27 = (104π/3)/27 =104π/81 = (104×3.14)/81 =4.03 cubic units The volume of a cube with side length a is: a3 =4.03 a =1.6 (Approx)
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252 @ 28 @ 11 @ 5 @ 22 = 42
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the equation.
32 * 8 * 55 * 42 * 7 * 305
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In the following question, select the related number from the given alternatives.
22 : 330 :: 28 : ?
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32 ÷ 5 X 184 - 8 + 78 Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
30 * 4 * 2 * 1 * 121
- Which two signs should be interchanged to correct the given equation?
5 + 3 × 8 – 12 ÷ 4 = 3 If '+' means '-', ' X ' means '+', '-' means '÷' and '÷' means ' X ', then what is the value of the following expression?
480 - 12 + 250 X 3...
If ‘P’ means ‘+’, V means ‘x’, T means ‘-‘ and ‘Q’ means “÷’ , then find ...
Select the different combination of mathematical signs that can sequentially replace the # sign and balance the given equation.
63 # 9 # 52 # 10 # 4 = 19
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