Q1 · hard · AI-verified
A cylindrical tank with radius 7 cm is being filled with water at a rate of 1 litre per minute. How long will it take to fill the tank to a height of 50 cm?
- 12.3 minutes
- 5.5 minutes
- 10.5 minutes
- 7.7 minutes
Q2 · medium · PYQ 2025
A square field of side 28 m has a circular pond of area 616 m² inside it. Find the area of the remaining field.
- 168 m²
- 152 m²
- 180 m²
- 192 m²
Q3 · medium · PYQ 2025
If the height of a right prism is increased by 50% and base area remains the same, what is the percentage increase in volume?
- 50%
- 75%
- 100%
- 25%
Q4 · medium · PYQ 2025
A pyramid has a base area of 60 cm² and height 9 cm. What is its volume?
- 280 cm³
- 180 cm³
- 240 cm³
- 160 cm³
Q5 · hard · AI-verified
A hemispherical bowl of radius 6 cm is filled with sand. The sand is poured into a conical pile with base radius 4 cm. What is the height of the conical pile (in cm)?
- 18 cm
- 36 cm
- 27 cm
- 24 cm