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#7551 2017-09-04 00:14:42

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6204 is correct. Neat work, math9maniac!

#6205. A hollow of internal and external diameters 4 and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7552 2017-09-06 02:22:00

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions

ganesh wrote:

A hollow of internal

Dear ganesh, what are you referring to as 'a hollow'?


Only a friend tells you your face is dirty.

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#7553 2017-09-06 02:47:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi math9maniac,

Amendment :  #6205. A hollow sphere of internal and external diameters 4 and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

Inconvenience regretted.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7554 2017-09-07 14:39:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6206. The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7555 2017-09-08 14:55:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6207. The diameter of a copper sphere is 18 cm. The sphere is melted and is drawn into a long wire of uniform circular cross-section. If the length of the wire is 108 meters, find its diameter.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7556 2017-09-12 00:21:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6208. The largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7557 2017-09-13 22:00:34

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#7558 2017-09-13 23:10:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6208 is correct. Splendid, math9maniac!

#6209. Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7559 2017-09-15 02:59:17

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#7560 2017-09-15 13:58:07

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6209 is correct. Brilliant, math9maniac!

#6210. A solid metal sphere of 6 cm diameter is melted and a circular sheet of thickness 1 cm is prepared. Determine the diameter of the sheet.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7561 2017-09-17 01:03:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6211. The surface area of a sphere is the same as the curved surface area of a cone having the radius of the base as 120 cm and height 160 cm. Find the radius of the sphere.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7562 2017-09-17 22:55:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6212. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7563 2017-09-18 02:35:27

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#7564 2017-09-18 12:24:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6212 is perfect! Keep it up, math9maniac!

#6213. A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter

cm (i.e. 14/3 cm) and height 3 cm. Find the number of cones so formed.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7565 2017-09-20 16:14:22

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6214. Three solid spheres of radii 3 cm, 4 cm, and 5 cm respectively are melted and converted into a single solid sphere. Find the radius of this sphere.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7566 2017-09-22 01:15:15

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: 10 second questions


Only a friend tells you your face is dirty.

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#7567 2017-09-22 01:54:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6214 is correct. Marvelous, math9maniac!

#6215. A well of diameter 3 meters is dug 14 meter deep. The earth taken out of it is spread evenly all around it to a width of 4 meters to form an embankment. Find the height of the embankment.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7568 2017-09-24 00:52:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6216. Solve when

.

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7569 2017-09-24 01:36:20

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: 10 second questions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#7570 2017-09-24 03:13:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6216 is correct. Neat work, Monox D. I-Fly!

#6217. If

, find the value of
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7571 2017-09-24 11:22:38

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: 10 second questions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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#7572 2017-09-24 15:45:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

The solution #6217 is correct. Neat work, Monox D. I-Fly!

#6218. A father is three times as old as his son. In 12 years time, he will be twice as old as his son. Find the present ages of the father and the son.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7573 2017-09-26 02:34:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6219. If

, find the value of
and
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7574 2017-09-30 22:42:49

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6220. If

, find
and
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#7575 2017-10-02 13:36:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,839

Re: 10 second questions

Hi,

#6221. In a triangle ABC, right angled at B, AB = 24 cm, BC =7 cm. Determine sin A and cos A.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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