Advanced Mensuration Maths Questions

LewisA

New member
Joined
Oct 13, 2013
Messages
1
Any knowledge appreciated. I have been supplied with the question(s) and answer(s), but I need the method using equations on how to achieve the answers.

1. Two Containers P and Q are similar.

The surface area of container P is 2000cm^2.
The surface area of container Q is 125cm^2.
The volume of container P is 4000cm^3.

Calculate the volume of container Q.

Answer: 62.5cm^3

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2.
There is a light security system.

The system can detect movement inside a sector of a circle.
The radius of the circle is 24m.
The sector angle is 125º.

Calculate the area of the sector.

Answer: 628.32m^2

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3.
A solid silver rod is in the shape of a cylinder of height 15cm.

The diameter of it's base is 8cm.
(a) Calculate the volume of the cylinder.

Answer: 753.98cm^3

The silver is melted down and re-cast as a solid cone of height 32cm. During this process none of the silver is lost.
(b) Calculate the radius of the circular base of the cone.

Answer: 4.74cm

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*Any Help appreciated.

~LewisA
 
Any knowledge appreciated. I have been supplied with the question(s) and answer(s), but I need the method using equations on how to achieve the answers.

1. Two Containers P and Q are similar.

The surface area of container P is 2000cm^2.
The surface area of container Q is 125cm^2.
The volume of container P is 4000cm^3.

Calculate the volume of container Q.

Answer: 62.5cm^3

-------------------------------------------------------
2.
There is a light security system.

The system can detect movement inside a sector of a circle.
The radius of the circle is 24m.
The sector angle is 125º.

Calculate the area of the sector.

Answer: 628.32m^2

-------------------------------------------------------
3.
A solid silver rod is in the shape of a cylinder of height 15cm.

The diameter of it's base is 8cm.
(a) Calculate the volume of the cylinder.

Answer: 753.98cm^3

The silver is melted down and re-cast as a solid cone of height 32cm. During this process none of the silver is lost.
(b) Calculate the radius of the circular base of the cone.

Answer: 4.74cm

-------------------------------------------------------

*Any Help appreciated.

~LewisA
We need to see your work.

1) If 2 objects are "similar," then all linear dimensions are proportional. Areas are proportional to lengths squared, and Volumes are proportional to lengths cubed.

2) A fraction of a circle.

3) You are expected to know the formulas for the volumes.
 
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