A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15cm. If the company has a total of 70,650cm3 of wax, how many candles can be made?Use 3.14 for π, and do not round your answer.

To solve this problem, we first need to find the volume of a single candle. The formula for the volume of a sphere is V = 4/3 * π * r^3, where r is the radius of the sphere.

Step 1: Find the radius of the sphere. The diameter is 15 cm, so the radius is half of that, which is 7.5 cm.

Step 2: Substitute the radius into the volume formula: V = 4/3 * π * (7.5 cm)^3 = 4/3 * 3.14 * (7.5 cm)^3 = 1766.25 cm^3. This is the volume of a single candle.

Step 3: Divide the total volume of wax by the volume of a single candle to find out how many candles can be made: 70,650 cm^3 / 1766.25 cm^3 = 40 candles.

So, the company can make 40 candles with the given amount of wax.

To solve this problem, we first need to find the volume of a single candle. The formula for the volume of a sphere is V = 4/3 * π * r^3, where r is the radius of the sphere.

Step 1: Find the radius of the sphere. The diameter is given as 15 cm, so the radius is half of that, which is 7.5 cm.

Step 2: Substitute the radius into the volume formula: V = 4/3 * π * (7.5 cm)^3 = 4/3 * 3.14 * (7.5 cm)^3 = 1766.25 cm^3.

Step 3: Now, we know the volume of a single candle and the total volume of wax available. To find out how many candles can be made, we divide the total volume of wax by the volume of a single candle: 70,650 cm^3 / 1766.25 cm^3 = 40 candles.

So, the company can make 40 candles with the available wax.