Question

Lindsey bought a new candle and the base of the candle covers an area of 19.625 square inches. She plans on putting the candle into a bowl

with a radius of 2 inches but isn't sure that is will fit. She calculates the radius of the candle to be 1.5 inches and thinks it will fit, but her
friend Amy says the radius is 2.5 inches and that it is too large for the bowl. Who is correct and will the candle fit in the bowl?

Answer 1

•The radius of the candle is 2.5

• The candle will NOT fit the bowl.

• Amy

Answer 2

-Amy

-The candle will fit.

Explanation:

-The candle has a circular base of area
`19.625\ in^2`

-The area of a circle is given by the formula:

`A=\pi r^2`

#We substitute the candle's base area in the formula to solve for the bowl's radius;

`A=\pi r^2\\\\19.625=\pi r^2\\\\\\r=\sqrt{(19.625)/(\pi)}\\\\=2.499a\approx 2.5\ inches`

The candle has a base radius of approximately 2.5 inches which is equivalent to the bowl's radius.

Hence, Amy is correct and yes, the candle will fit as it is approximately of similar radius.