Question
The radius of the base of a cone is 12 cm, and its
height is 16 cm. The cone is melted and recast into smaller cones of radius 3 cm and height 4 cm. How many such smaller cones can be made?Solution
Volume of a cone = (1/3)πr²h. Volume of the large cone = (1/3) × π × 12² × 16  = (1/3) × π × 144 × 16 = 768π cm³. Volume of a smaller cone = (1/3) × π × 3² × 4 = (1/3) × π × 9 × 4 = 12π cm³. Number of smaller cones = Volume of the large cone / Volume of a smaller cone = 768π / 12π = 64.
Which breed of pony is the government of Manipur taking steps to conserve?Â
Where was the ASMITA weightlifting league 2025 inaugurated?
What is the primary objective of the Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA)?
Who has been sworn in as the 41st Prime Minister of New Zealand?
What is the total outlay of the PM's package to facilitate employment, skilling, and opportunities for youth over five years as per the Union Budget 202...
The Ministry of Consumer Affairs, Food and Public Distribution, Textiles and Commerce and Industry has recently launched wheat flour (Atta) under ‘Bha...
The Great Barrier Reef which is recommended to be put into the danger list by the UN panel is located in _____.
Consider the following statements about Sukanya Samriddhi Yojana (SSY):Â
1.   Government recently raised the interest rates on SSY scheme by...
Who among the following was nominated to the Rajya Sabha by President Droupadi Murmu? Â
What was the net direct tax collection in India for April-November 2024?
