Mensurationhard · Past Paper
A cylindrical pipe has inner diameter 4 cm and water flows through it at 20 m/min. How long would it take to fill a conical vessel of radius 40 cm and depth 72 cm?
A4.8 min
B9.6 min
C3.2 min
D1.5 min
✓ Correct Answer: A — 4.8 min
Vol_cone = 1/3 π (40²) 72 = 38400π. Vol_flow/min = π(2²)2000 = 8000π. Time = 38400 / 8000 = 4.8 min.
Share this question
More from Mensuration
- A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. Find the number of cones.
- The lateral surface area of a cylinder is 94.2 sq. cm and its height is 5 cm. Find the radius of its base. (Use π = 3.14)
- Find the volume of a right circular cylinder whose curved surface area is 264 cm² and height is 14 cm.
- If the volume of a sphere is numerically equal to its surface area, find its diameter.
- The radius and height of a cone are in the ratio 3:4. If its curved surface area is 188.4 cm², find its radius (Take π = 3.14).