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)
What will come in the place of question mark (?) in the given expression?
?% of 2480 + 15 × 34 = 1440
(82 + 62 ) × 1.25 + 20% of 145 = ? – 40% of 65Â
Evaluate: (768÷16)×(125÷25)−(81÷9)×12
What will come in place of (?) in the given expression.
40% of (120 + 80) + 25% of 160 = ?What value should come in the place of (?) in the following questions?
(3√1728 * 25) ÷ 3 * ? = 250 + 50* 3
What will come in the place of question mark (?) in the given expression?
65% of 900 - 45% of 600 = ? X 3Â
- What will come in the place of question mark (?) in the given expression?
?² = 28% of 35% of 4500 Simplify the expression:
(9x² - 25) / (3x + 5)
[{(3 × 54 × 21)/63} + 6] / 6 = √?Â
3.2% of 500 × 2.4% of ? = 288
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