Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi;

The solution #6198 is correct. Excellent, bobbym!

#6199. The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi;

#6200. A metallic sphere of radius 10.5 cm is melted and then recast into small cones, each of radius 3.5 cm and height 3 cm. The number of such cones is _______.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi;

The solution #6200 is correct. Excellent, bobbym!

#6201. The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then find the height of the cone.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 1,047

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.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi;

The solution #6201 is correct. Good work, Monox D. I-Fly!

#6202. A circus tent is cylindrical to a height of 4 meters and conical above it. If its diameter is 105 meters and its slant height is 40 meters, find the total area of the canvas required in square meters.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi;

#6203. The number of solid spheres, each of diameter 6 cm that could be molded to form a solid metal cylinder of height 45 cm and diameter 4 cm is _______.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi,

#6204. A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.

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

Offline

**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

Only a friend tells you your face is dirty.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

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.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

Hi,

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

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

Only a friend tells you your face is dirty.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

Only a friend tells you your face is dirty.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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.

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

Offline

**math9maniac****Member**- From: Tema
- Registered: 2015-03-30
- Posts: 407

Only a friend tells you your face is dirty.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,811

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

Offline