46.2k views
3 votes
A cylindrical candle with radius 2 inches and height of 8 inches is lit. It loses 6 cubic inches of volume per hour. What is the height of the candle after 2 hours?

User LazyOne
by
8.0k points

1 Answer

5 votes

Answer:

The volume of a cylinder is πr²h, where r is the radius, and h is the height. The radius of the candle is 2 inches, and the height is 8 inches. The candle loses 6 cubic inches of volume per hour.

After 2 hours, the candle will have lost 12 cubic inches of volume. The remaining volume of the candle is πr²h - 12 cubic inches.

Plugging in the values for r and h, we get the following equation:

The height of the candle after 2 hours is 36 cubic inches / π(2²) = 36 / 12.5663706144 = 2.87 inches.

Therefore, the height of the candle after 2 hours is 2.87 inches.

hope this helps :))

User Sheehan Alam
by
8.0k points