Question

A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candle has a radius of 0.5 inches and a height of 3 inches. The other two candles are scaled versions of the smallest, with scale factors of 2 and 3. How much wax is needed to create one set of candles? A. 27 π cubic inches B. 36 π cubic inches C. 53 π cubic inches D. 86 π cubic inches E. 98 π cubic inches

Answer 1

Answer:

A. 27 π cubic inches

Step-by-step explanation:

The volume of a cylinder is calculated using the formula;

$Volume=\pi r^2h$

From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.

We substitute $r=0.5$ and $h=3$ into the given formula.

The vlume of the smallest candle is

$Volume=\pi \times0.5^2\times 3$

$Volume=\frac{3}{4}\pi in^3$

from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.

The volume of the other two candles will be $2^3\times \frac{3}{4}\pi=6\pi in^3$ and $3^3\times \frac{3}{4}\pi=\frac{81}{4}\pi in^3$

The wax needed to create one set of candle is

$\frac{3}{4}\pi+6\pi+\frac{81}{4}\pi=27\pi\: in^3$

The correct answer is A

Answer 2

Answer:

27 pi in³

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)