How to Find the Volume of a Cylinder | CXC Math Made Easy

If cylinder questions confuse you, don’t worry! Today we’ll solve a simple CXC-style math question step by step in the easiest way possible.

Question

A water storage tank is shaped like a cylinder.

  • Radius = 4 cm

  • Height = 15 cm

Find the volume of the cylinder.


Step 1: Write the Formula

The formula for the volume of a cylinder is:

genui{"math_block_widget_always_prefetch_v4":{"content":"V=\pi r^2 h"}}

Where:

  • V = Volume

  • r = Radius

  • h = Height

  • π (pi) ≈ 3.14


Step 2: Put the Numbers Into the Formula

We know:

  • Radius = 4 cm

  • Height = 15 cm

So:

V=\pi(4)^2(15)


Step 3: Square the Radius

Remember:

  • (4^2 = 4 \times 4 = 16)

Now the equation becomes:

V=\pi(16)(15)


Step 4: Multiply

16 × 15 = 240

So:

V=240\pi


Final Answer

The volume of the cylinder is:

(240\pi \text{ cm}^3)

Approximate answer using π ≈ 3.14:

240 × 3.14 = 753.6 cm³


Quick Tips for Cylinder Questions

  • Radius is HALF the diameter

  • Always write the formula first

  • Don’t forget to square the radius

  • Include units in your final answer


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