Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#626 2017-04-12 23:22:48
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#627 2017-04-13 00:10:20
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #275 is correct. Marvelous, bobbym!
M #276. A solid toy is in the form of a hemisphere surmounted by a right circular cone. Height of the cone is 2 cm and the diameter of the base is 4 cm. If a right circular cylinder circumscribes the toy, find how much more space it will cover.
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.
Offline
#628 2017-04-13 14:20:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#629 2017-04-13 15:31:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
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.
Offline
#630 2017-04-13 22:14:26
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
Hi;
Thanks for the diagram!
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
#631 2017-04-14 16:37:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #276 is correct. Excellent, bobbym!
M #277. The difference between outside and inside surface areas of cylindrical metallic pipe 14 cm long is 44 square meters. If the pipe is made of 99 cubic centimeters of metal, find the outer and inner radii of the pipe.
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.
Offline
#632 2017-04-14 18:07:02
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#633 2017-04-14 22:02:08
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
M #278. A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 14 cm and the total height of the vessel is 13 cm. Find its capacity.
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.
Offline
#634 2017-04-15 06:28:02
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#635 2017-04-15 17:09:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #278 is correct. Magnificent, bobbym!
M #279. A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 108 cm and the diameter of the hemispherical ends is 36 cm, find the cost of polishing the surface area of the solid at the rate of 7 cents per square centimeter.
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.
Offline
#636 2017-04-16 00:41:14
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#637 2017-04-16 16:00:43
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
M #280. The largest possible sphere is carved out of a wooden solid cube of side 7 cm. Find the volume of the wood left.
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.
Offline
#638 2017-04-17 10:19:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#639 2017-04-17 15:08:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #280 is correct. Excellent, bobbym!
M #281. A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. Find the capacity of the tent and the cost of the canvas at the rate of $100 per square meter.
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.
Offline
#640 2017-04-18 00:10:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#641 2017-04-18 18:32:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #281 (two parts) is correct. Excellent, bobbym!
M #282. A friction clutch is in the form of a frustum of a cone, the diameter of the ends being 32 cm and 20 cm and length 8 cm. Find its bearing surface and volume.
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.
Offline
#642 2017-04-18 21:43:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#643 2017-04-19 01:18:54
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The latter part of the problem M #282 is correct. Neat work, bobbym!
M #283. A bucket of height 8 cm and made up of copper is in the form of frustum of a right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate
(i) the height of the cone of which the bucket is a part.
(ii) the volume of water which can be filled in the bucket.
(iii) the area of copper sheet required to make the bucket.
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.
Offline
#644 2017-04-19 12:43:17
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#645 2017-04-19 14:53:43
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #283 (three parts) is correct. Brilliant, bobbym!
M #284. A frustum of a right circular cone has a diameter of base 20 cm, of top 12 cm, and height 3 cm. Find the area of its whole surface and volume.
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.
Offline
#646 2017-04-20 16:29:22
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
M #285. The radii of circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. Find its total surface area.
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.
Offline
#647 2017-04-20 23:45:06
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Mensuration
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
#648 2017-05-11 21:36:11
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi;
The solution M #285 is correct. Excellent, bobbym!
M #286. If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket.
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.
Offline
#649 2018-05-31 19:07:58
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi,
M #287. A circular grass lawn of 35 meters in radius has a path 7 meters wide running around it on the outside. Find the area of the path.
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.
Offline
#650 2018-05-31 22:32:47
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,420
Re: Mensuration
Hi,
M # 288. The side and the height of a rhombus are 20 centimeters and 13 centimeters respectively. Find the area.
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.
Offline