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
[tex]V=\pi r^2h[/tex]Step 2
Determine the volume for A
[tex]\begin{gathered} V(A)=\pi\times(3.1)^2\times6.3 \\ \\ \approx190.20\text{ in}^3 \end{gathered}[/tex]Step 3
Determine the volume for B
[tex]\begin{gathered} V(B)=\pi\times(3.9)^2\times3.9 \\ \\ \approx186.36\text{ in}^3 \end{gathered}[/tex]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
