Math Is Fun Forum

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Compute the solution:

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Bassaricyon neblina

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi Olinguito.

The solutiom 281 is magnificent!

282. A solid is in the shape f a cylinder surmounted by a hemisphere. If the diameter and the total height of the solid are 21 centimeters and 25.5 centimeters, respectively, then find its volume.

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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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 282 is correct. Brilliant!

283. A capsule is in the shape of a cylinder with two hemispheres stuck to eah of its ends. If the length of the entire capsule is 14 millimeters and the diameters of the capsule is 5 millimeters, find tts surface area.

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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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

284. The radius of a solid sphere is 24 centimeters. It is melted and drawn into a long wire of uniform cross section. Find the length of the wire if its radius is 1.2 millimeters.

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 284 is perfect. Splendid!

285. Through a cylindrical pipe of internal radius 7 centimeters, water flows out at the rate of 5 centimeters per second. Calulate the volume of water (in liters) discharged through the pipe in half an hour.

---

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.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Compute the solution:

Dear ganesh, thanks for initiative. The exercises are absolutely helpful for revision. Got an exam to prepare for so will work out questions later. Have a question though. No. 16 made mention of 'synthetic division'. I've never heard that. What's it pls? Thanks.

Hey bobbym, you are a shark! Wow!

Regards, Ama.

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Only a friend tells you your face is dirty.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Compute the solution:

I'm sure I posted a reply here yesterday and I see it's registered as such. However, can't find post. Where did it go?

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Only a friend tells you your face is dirty.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

What was it about and where was it?

---

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym and math9maniac,

math9maniac : http://www.purplemath.com/modules/synthdiv.htm

]286. Two cubes each of volume 64 cubic centimeters are joined end to end. Find the surface area of the resulting cuboid.

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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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 286 is correct! Good work!

287. A metallic sphere of radius 4.2 centimeters is melted and recast into the shape of a cylinder of radius 6 centimeters. Find the height of the cylinder.

---

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.

math9maniac

Member

From: Tema

Registered: 2015-03-30

Posts: 443

Re: Compute the solution:

---

Only a friend tells you your face is dirty.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi math9maniac,

The solution 287 is correct! Magnificent!

288. A 20 meter deep well with diameter 7 meters is dug and the earth from digging is evenly spaced out to form a platform 22 meters by 14 meters. Find the height of the platform.

.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 288 is correct. Neat work!

289. How many silver coins, 1.75 centimeters in diameter and of thickness 2 millimeters, must be melted to form a cuboid of dimensions 5.5 cm x 10 cm x 3.5 cm?
(Shape of a coin will be the shape of cylinder).

.

---

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi,

.

290. Metallic sphere of radii 6 centimeters, 8 centimeters, and 10 centimeters respectively are melted to form a single solid sphere. Find the radius of the resulting 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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 289 is correct! Excellent!

290. Metallic sphere of radii 6 centimeters, 8 centimeters, and 10 centimeters respectively are melted to form a single solid sphere. Find the radius of the resulting 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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 290 is correct! Good work!

291. Find the value of P for which points (3P + 1,P), (P + 2,P - 5), and (P + 1,-P) are collinear.

---

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.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Compute the solution:

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,422

Re: Compute the solution:

Hi bobbym,

The solution 291 (P = 3) is correct! Good work!
(the alternate solution is P = 0).

292. Cards maked from numbers 5, 6, 7, ....30 are placed in a box and mxed thoroughly; and one card is drawn at random from the box. What is the probability that the number on the ard is
(i) a prime number?
(ii) a multiple of 3 or 5?
(iii) neither divisible by 5 nor by 10?

---

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.