Question
A cylinder has a height of 16 cm and a base radius of 7
cm. The cylinder is completely filled with water, and then the water is poured into a conical vessel whose radius is 12 cm and height is 24 cm. Find the height of the water in the conical vessel.Solution
Volume of the cylinder = πr²h = π × 7² × 16 = 784π cm³. Let the height of water in the conical vessel be h. Volume of water = (1/3)πr²h, 784π = (1/3) × π × 12² × h. Solving this, h = 16.33 cm. Correct answer: a) 16.33 cm
More Geometry Questions
A ladder is leaning against a wall, making an angle of 60° with the ground. The top of the ladder reaches a window 15 meters above the ground. Find the...
The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to
A flagpole stands on top of a building. From a point 50 meters away from the base of the building, the angle of elevation to the top of the building is ...
What is the value of 1/(1+tan 2 θ ) + 1 / (1+cot 2 θ ) = ?
...
- If 5tanθ = 12, then find the value of (sinθ – cosθ).
If sin(3θ) = cos(2θ), then find the value of θ between 0 and 90 degrees.
- Simplify the following trigonometric expression:
13cos 63 o cosec 27 o - 5cot 56 o cot 34 o
