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

Explanation:

Recall that the volume of a cylindrical shape is given by

`V = \pi * r^(2) * h`

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

Re-arrange the above equation for radius

`r^(2) = (V)/(\pi * h) \\\\r = \sqrt{(V)/(\pi * h)}`

Now substitute the given values into the above equation

`r = \sqrt{(75)/(\pi * 6)}\\\\r = 1.99 \: in`

Rounding to the nearest inch

`r = 2 \: in`

Therefore, the radius of this candle is 2 inches.