How many hemispheres with a radius of 3 cm can be produced by melting down a hemisphere with a radius of 12cm?
How many hemispheres with a radius of 3 cm can be produced by melting down a hemisphere with a radius of 12cm?
12 सेमी त्रिज्या वाले एक अर्धगोले को पिघलाकर 3 सेमी त्रिज्या वाले कितने अर्धगोले बनाए जा सकते हैं?
Detailed Solution & Logic
Correct Answer:
64
The number of hemispheres formed is equal to the ratio of their volumes.
Volume of a hemisphere $\propto r^3$
$\therefore\ \text{Number of hemispheres}=\left(\dfrac{12}{3}\right)^3$
$=4^3$
$=64$
Similar Practice Questions
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)?
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What...
In a circle with center O, two chords, AB and CD, cross each other at right angles. If the distance from the center O to chord AB is 3 cm, while the distance from O to chord CD is 4 cm. What is the radius of the circle?
In a circle with center O, two chords, AB and CD, cross each other at...
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...
A cuboidal block of metal is melted and recast into 12 identical cubes. If the original block had dimensions 24 cm \times 6 cm \times 6 cm, what is the edge of each cube?
A cuboidal block of metal is melted and recast into 12 identical cubes. If the...
A rectangle of side 8cm\times 6cm and a rhombus
A rectangle of side 8cm × 6cm and a rhombus (side = 8cm, acute angle...
In a regular polygon, the number of
In a regular polygon, the number of diagonals is 9. Find the difference between one...
A shot – put made of iron
A shot – put made of iron with a diameter of 12 cm is melted...