Given Information:
Volume of candle = V = 75 in³
Height of candle = h = 6 in
Required Information:
Radius of candle = r = ?
Answer:
Radius of candle = r = 2 in
Step-by-step explanation:
Recall that the volume of a cylindrical shape is given by
[tex]V = \pi \times r^{2} \times h[/tex]
Where V is the volume, r is the radius and h is the height
Re-arrange the above equation for radius
[tex]r^{2} = \frac{V}{\pi \times h} \\\\r = \sqrt{\frac{V}{\pi \times h}}[/tex]
Now substitute the given values into the above equation
[tex]r = \sqrt{\frac{75}{\pi \times 6}}\\\\r = 1.99 \: in[/tex]
Rounding to the nearest inch
[tex]r = 2 \: in[/tex]
Therefore, the radius of this candle is 2 inches.
