Question
A solid metallic cone with a radius of 6 cm and height
of 12 cm is melted and recast into smaller cones with a radius of 3 cm and a height of 4 cm. How many smaller cones can be formed?Solution
Volume of the larger cone = (1/3)πr²h = (1/3) × (22/7) × 6² × 12. = (1/3) × (22/7) × 36 × 12 cm³. Volume of a smaller cone = (1/3)πr²h = (1/3) × (22/7) × 3² × 4. = (1/3) × (22/7) × 9 × 4 cm³. Number of smaller cones = (1/3) × (22/7) × 36 × 12/ (1/3) × (22/7) × 9 × 4 = 12 Correct answer: c) 12.
More Mensuration Questions
2/9 of 5/8 of 3/25 of ? = 40
? = 2640 ÷ {(35% of 1240) – 170}Â
4567.89 - 567.89 - 678.89 = ?
60% of 250 + 14 × 10 - 210 = ?
(26)2 = {(20% of 40% of 18200) ÷ ?} × 1664 ÷ 128Â
13% of 200 + 56 ÷ 4 = 8% of ?Â
40% of 220 × 15 ÷ 20 = ?
(√784 ×20+ √4225 ×14)/(√1764 ×5) = ?
What will come in the place of question mark (?) in the given expression?
(70 × 8 ÷ 10) × 5 = ?
