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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 588. The radius of a sphere is r centimeters. It is divided into two equal parts. Find the whole surface area of two parts.

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.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 589. If the number of square centimeters in the surface area of a sphere is equal to the number of cubic centimeters in its volume, find the diameter of the sphere.

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.

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
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M#589. D=6 units.

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

The solution M # 589 is correct. Good work!

M # 590. A tent constructed in the form of a square pyramid of base perimeter 80 meters and lateral edge 26 meters.

(a) Calculate the slant height of the tent.

(b) Calculate the area of tarpaulin sheet required to cover the lateral faces of the tent.

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.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 591. What is the surface area of cone of base diameter 30 centimeters and height 40 centimeters approximately?

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

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 592. The base edge of a square pyramid is 8 centimeters, height 3 centimeters. Find the slant height and lateral edge.

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

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 593. The base edge of a square pyramid is 6 centimetres, height 4 centimetres, calculate slant height and total surface area.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Neat work!

M # 594. A sector is folded in such a way as to get a cone. Radius of the sector is 12 centimetres, central angle 120°. Calculate radius and slant height.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Good work!

M # 595. The central angle of a sector is 90°, radius 16 centimeters, calculate slant height, and radius.

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

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

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M # 596. Radius of a cone is 4 centimeters, slant height is 2.5 times radius. Calculate the radius and central angle of the sector.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Neat work!

M # 597. The base perimeter of a square pyramid is 48 centimeters. Slant height is 10 centimeters. Calculate lateral surface area and volume.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Neat work (both parts)!

M # 598. The height of a square pyramid is 15 centimeters, volume is 1620 cubic centimeters. Calculate total surface area.

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

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

M # 599. The height of a cone is 4 centimeters, slant height is 5 centimeters. Calculate total surface area.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

*Last edited by 666 bro (2020-08-01 14:46:14)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Neat work!

M # 600. Radius of a cone is 10 centimeters, volume 3140 cubic centimeters. Calculate total surface area.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

*Last edited by 666 bro (2020-08-08 14:43:22)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Excellent!

M # 601. A solid sphere of radius 7 centimeters is melted and recast into a cone of same radius of the sphere. Calculate the height of the cone.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

*Last edited by 666 bro (2020-08-15 15:15:02)*

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Good work!

M # 602. A cylindrical vessel has radius 3.5 centimeters and height 20 centimeters. It is filled with water. How many metal spheres of radius 3 centimeters can be placed n it? Calculate the volume of water flows from the vessel.

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

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**666 bro****Member**- From: Flatland
- Registered: 2019-04-26
- Posts: 621

"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 32,567

Hi,

Well tried!

M # 603. Slant height of a square pyramid is 12 centimetres, lateral edge is 13 centimetres. Calculate height.

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

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