**GCSE** **Mathematics**** Question Analysis Topic: Mathematics - Volume**

**Exam Question:**

A heap of rice is in the form of a cone of base diameter 24, and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?

**Answer:**

For GCSE Mathematics, you should know:

We are given that the heap of rice is **cone-shaped **i.e.,

**Diameter d = 24m****Radius r = d/2 = 12m****Height h = 3.5m**

**Volume of cone V = πr**^{2}**h/3**

V = (π x **12**^{2} x **3.5**) / 3 = 528 m^{3}

Now, we're told that the canvas cloth is required to cover the (cone-shaped) heap. In other words, it needs to cover the exact **curved surface area** of the cone.

Slant height of cone l = √(h^{2} + r^{2})

= √(**3.5**^{2} + **12**^{2}) m

= 12.5 m

Curved surface area of the 'cone' S = πrl

S = 22/7 x **12** x **12.5** m^{2}

S = 471.42 m^{2}

*The following diagram is for your reference:*

Work hard for your GCSE Mathematics examination!

End of analysis. Great!