A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

SSC Exam > SSC Questions > A spherical metal ball of radius 12 cm is mel...

A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?

a)
9 cm
b)
10 cm
c)
11 cm
d)
8 cm

Correct answer is option 'D'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

A spherical metal ball of radius 12 cm is melted and recast into three...

Let the radius of the third ball be x cm
According to the question,
⇒ 4/3 π × 12³ = 4/3 π × 6³ + 4/3 π × 10³ + 4/3 π × x³
⇒ 1728 = 216 + 1000 + x³
⇒ x³ = 512
⇒ x = 8
∴ Radius of the third ball = 8 cm

View all questions of this test

View all answers Start learning for free

Explore Courses for SSC exam

Similar SSC Doubts

A hollow sphere of internal and external radius 3 cm and 5 cm respectively is melted into a solid right circular cone of diameter 8 cm. The height of the cone is

View answer

If a spherical bowl of radius 33 cm which is full of drink is poured into 11 same volume cylindrical pot of height 22 cm. Find the circumference of base of a cylindrical pot.

View answer

(Q. Nos. 12-18) In each group of questions below are two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the two three statements disregarding commonly known facts.StatementsNo note is a coin. Some coins are metals. All plastics are notes.ConclusionsI.No metal is plastic.II. All notes are plastics

View answer

A liquid has surface tension σ. The minimum work required to divide a spherical drop of this liquid of radius t into 8 equal-sized spherical drops is

View answer

In the following question below are given three statements followed by three conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.Statements:I. No pin is silver.II. All silver are metal.III. Some metal are gold.Conclusions:I. No metal is pin.II. Some pin are gold.III. Some gold are silver.

View answer

A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? for SSC 2025 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer?.

Solutions for A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.

Here you can find the meaning of A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A spherical metal ball of radius 12 cm is melted and recast into three spherical balls. The radii of two of these balls is 6 cm and 10 cm. What is the radius of the third ball?a)9 cmb)10 cmc)11 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.

Explore Courses for SSC exam