A spherical tank is filled with water. The radius of the sphere is 6 meters.
A spherical tank is filled with water. The radius of the sphere is 6 meters. The tank is used to fill cylindrical, each with a radius of 1 meter and a height of 12 meters. How many containers can be filled?
एक गोलाकार टैंक पानी से भरा हुआ है। इस गोले का त्रिज्या 6 मीटर है। इस टैंक के पानी का उपयोग बेलनाकार कंटेनरों को भरने के लिए किया जाता है, जिनमें से प्रत्येक का त्रिज्या 1 मीटर और ऊँचाई 12 मीटर है। कितने कंटेनर भरे जा सकते हैं?
Detailed Solution & Logic
24
Given:
Radius of sphere = 6 m
Radius of cylinder = 1 m, Height = 12 m
Volume of spherical tank
$V = \frac{4}{3}\pi (6)^3 = 288\pi$
Volume of one cylindrical container
$V = \pi (1)^2 (12) = 12\pi$
Number of containers
$= \frac{288\pi}{12\pi} = 24$
Final Answer: 24 containers
Similar Practice Questions
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides...
A banner is shaped like a trapezium with bases 5 m and 3 m, and height 4m. If printing costs ₹$ 250/m^2$, what is the total cost?
A banner is shaped like a trapezium with bases 5 m and 3 m, and...
A cylindrical disc of thickness 1 cm
A cylindrical disc of thickness 1 cm is made by melting two solid cylinders of...
A cuboid of dimensions 18 cm × 12 cm × 8 cm is melted and recast into smaller cubes each having an edge of 4 cm.
A cuboid of dimensions 18 cm × 12 cm × 8 cm is melted and...
A triangle ABC has a circle inscribed within it with sides a, b, c. The area of the triangle is A. What is the radius of the inscribed circle?
A triangle ABC has a circle inscribed within it with sides a, b, c. The...
In a circle, chord AB subtends an angle of $50^\cirs$ at a point C on the circle. What is the angle subtended by the same chord AB at another point D on the same arc as C?
In a circle, chord AB subtends an angle of $50^\cirs$ at a point C on...
What is the minimum distance between centers of two circles having radii 5 cm and 3 cm such that exactly three common tangents exist?
What is the minimum distance between centers of two circles having radii 5 cm and...