A solid sphere of diameter 15 m is melte...

A solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m . What is the percentage increase in the surface area of the smaller spheres over that of the larger sphere ?

`200%`

`400%`

`500%`

can't be determined

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

LOGARITHM
QUANTUM CAT|Exercise QUESTION BANK|159 Videos
NUMBER SYSTEM
QUANTUM CAT|Exercise QUESTION BANK|1091 Videos

Similar Questions

Explore conceptually related problems

A large solid sphere of diameter 15m is melted and recast into several small spheres of diameter 3m . What is the percentage increase in the surface area of the smaller spheres over that of the large sphere?

A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of balls.

A sphere of radius 7 cm is melted and recast into small spheres of radius 3.5 cm each. How many such spheres can be made?

A solid sphere of diameter 60 mm is melted to stretch into a wire of length 144 cm. What is the diameter of the wire?

A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, each of diameter 3.5 cm and height 3 cm. Find the number of cones so formed.

A solid sphere of diameter 14cm is cut into two equal halves.Find the increase in the total surface area of solid sphere?

504 cones, each of diameter 3.5 cm height 3 cm, are melted and recast into a metallic sphere. Find the diameter of the sphere and hence find its surface area.

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4 2/3 cm and height 3 cm. Find the number of cones so formed.

A metallic cylinder of diameter 16 cm and height 9 cm is melted and recast in to sphere of diameter 6cm .How many such spheres can be formed?

QUANTUM CAT-MENSURATION-QUESTION BANK

The total surface area of a hemisphere is 462 cm^2. Find its diameter ...
Text Solution
|
A big cube of side 8 cm is formed by rearranging together 64 small but...
Text Solution
|
A solid sphere of diameter 15 m is melted and recast into several smal...
Text Solution
|
A cone is made of a sector with a radius of 14 cm and an angle of 60...
Text Solution
|
Kishan Chand is a very labourious farmer , he erected a fence around ...
Text Solution
|
A rectangular lawn is surrounded by a path of width 2 m on all sides...
Text Solution
|
A cylinder with height and radius 2:1 is filled with soft drink and th...
Text Solution
|
A cylinder with height and radius 2:1 is filled with soft drink and th...
Text Solution
|
An elephant of length 4 m is at one corner of a rectangular cage 16m ...
Text Solution
|
What is the height of the cone which is formed by joining the two ends...
Text Solution
|
If a cube of maximum possible volume is cut off from a solid sphere of...
Text Solution
|
In the adjoining figure PQRS is a square and MS=RN and A,P,Q and B li...
Text Solution
|
ABCD is a rectangle and there are four equilateral triangles . Area of...
Text Solution
|
ABCD and EFGA are the squares of side 4 cm , each . In square ABCD, DM...
Text Solution
|
In the adjoining figure (AB)/(BC)=(AD)/(DF), where EBCF is a square . ...
Text Solution
|
In the adjoining figure ABCD is a square . A circle ABCD is passing th...
Text Solution
|
In the adjoining figure ABCD is a square . A circle ABCD is passing th...
Text Solution
|
In the adjoining figure ABCD is a square . A circle ABCD is passing th...
Text Solution
|
In the adjoining figure ABCD is a square . Four equal semicircles are ...
Text Solution
|
ABCD is a square . Another square EFGH with the same area is placed on...
Text Solution
|