Question

Another candle has a volume of 75 cubic inches and a height of 6 inches. What is the radius, in inches, of this candle. Round your answer to the nearest inch

Answer 1

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

$V = \pi \times r^{2} \times h$

Where V is the volume, r is the radius and h is the height

Re-arrange the above equation for radius

$r^{2} = \frac{V}{\pi \times h} \\\\r = \sqrt{\frac{V}{\pi \times h}}$

Now substitute the given values into the above equation

$r = \sqrt{\frac{75}{\pi \times 6}}\\\\r = 1.99 \: in$

Rounding to the nearest inch

$r = 2 \: in$

Therefore, the radius of this candle is 2 inches.