Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi bobbym,

The solution M#149 is correct! Good work!

M#150. A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then find the quantity of soup to be prepared daily in the hospital to serve 250 patients.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hello!

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless,

The solution M#150 is perfect! Good work!

M#151. The sum of the base radius and the height of a right circular solid cylinder is 37 cm. If the total surface area of the cylinder is 1628 square centimeters, then find the volume 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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hey!
I'm probably going to ignore the approximation that pi = 22/7. I've always just solved the equation as if pi was a variable and then given some significant figures. I like to be precise, and if I did it with pi = 22/7 I'd just be curious about how much it differed anyway

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless and bobbym,

The solution M#151 is correct! Good work, Relentless and bobbym!

M#152. The internal and external radii of a hollow cylinder are 12 cm and 18 cm respectively. If its height is 14 cm, then find its curved surface area and 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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi bobbym,

The solution M#152 is correct! Neat work!

M#153. A horse is tied to a pole fixed at one corner of a 30m x 30m square field of grass, by means of a 10m long rope. Find the area of that part of the field which the horse can graze.

M #154. Curved surface area of a wooden cone of slant height 12 cm is 226.98 square centimeters. Find the base radius 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.

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi bobbym,

The solution M#153 and M#154 are correct! Neat work!

M#155. Find the volume of the largest right circular cone what can be cut out of a cube whose edge is 14 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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hello!

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless and bobbym,

The solution M#155 is correct! Good work, Relentless and bobbym!

M#156. A solid wooden toy is in the form of a cone surmounted on a hemisphere. If the radii of the hemisphere and the base of the cone are 3.5 cm each and the total height of the toy is 17.5 cm, then find the volume of wood used in the toy.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hi!

Last edited by Relentless (2015-12-25 21:55:41)

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless and bobbym,

The solution M#156 is correct! Brilliant, Relentless and bobbym!

M#157. Radius and slant height of a cone are in the ratio 3:5. If the curved surface area is

square centimeters, then 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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hi!

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless,

The solution M157 is correct! Excellent!

M#158. Find the curved surface area and total surface area of a hollow hemisphere whose outer and inner radii are 4.2 cm and 2.1 cm respectively.

---

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: 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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi bobbym,

The solution M#158 is correct (both parts)! Excellent!

M#159. A hollow cylindrical iron pipe is of length 28 cm. Its outer and inner diameters are 8 cm and 6 cm respectively. Find the volume of the pipe and wight of the pipe if 1 cubic centimeter of iron weighs 7 grams.

---

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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hey! If I interpret correctly...

Last edited by Relentless (2015-12-26 17:08:49)

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.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,385

Re: Mensuration

Hi Relentless and bobbym,

Excellent, Relentless!

M#160. The radius and height of a cylinder are in the ratio 5:7. If its volume is 4400 cubic centimeters, find the radius 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.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: Mensuration

Hello

Last edited by Relentless (2015-12-27 05:40:48)

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.