Q1 · hard · AI-verified
A metallic sphere of radius 6 cm is melted and recast into small spheres of radius 1 cm each. How many small spheres can be made?
- 216
- 36
- 108
- 72
Q2 · hard · AI-verified
Water is flowing through a cylindrical pipe of radius 3.5 cm at a speed of 10 m/s. How much water (in litres) flows through the pipe in 1 minute? (Use π = 22/7; 1 m³ = 1000 litres)
- 2640 litres
- 3080 litres
- 2310 litres
- 1540 litres
Q3 · hard · AI-verified
The length, breadth, and height of a room are 8 m, 6 m, and 4 m respectively. The cost of painting the four walls at ₹15 per m² is:
- ₹2880
- ₹2160
- ₹1440
- ₹1680
Q4 · hard · AI-verified
The perimeter of a semicircle (including the diameter) is 72 cm. What is the area of the semicircle? (Use π = 22/7)
- 616 cm²
- 308 cm²
- 462 cm²
- 154 cm²
Q5 · hard · AI-verified
A parallelogram has a base of 18 cm and a height of 12 cm. A triangle with the same base and height is cut from it. What is the area of the remaining portion?
- 54 cm²
- 108 cm²
- 162 cm²
- 216 cm²