Question

Which is a larger volume, a candle with a height of 6.3 inches and a radius of 3.1 inches or a candle with both a height and a radius of 3.9 inches ?

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The larger volume.

Given:

Candle A

Height (h) = 6.3

radius (r) = 3.1

Candle B

Height(h) = 3.9

radius (r) = 3.9

Step 1

Recall the volume of a cylinder formula

`V=\pi r^2h`

Step 2

Determine the volume for A

`\begin{gathered} V(A)=\pi*(3.1)^2*6.3 \\ \\ \approx190.20\text{ in}^3 \end{gathered}`

Step 3

Determine the volume for B

`\begin{gathered} V(B)=\pi*(3.9)^2*3.9 \\ \\ \approx186.36\text{ in}^3 \end{gathered}`

Hence, the candle with the larger volume is candle A.

ANSWER

The candle with the larger volume is :

a candle with a height of 6.3 inches and a radius of 3.1 inches