Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 6.1 cm and the height is 13.8 cm. Find the volume of the candle.
Yes
The bot had the right equation, but couldn't do the basic arithmetic
V = π (6.1)^2 (13.8)
= 1613.2 cm^3
To find the volume of a right circular cylinder, you can use the formula:
Volume = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the radius (r) is given as 6.1 cm and the height (h) is given as 13.8 cm. Plugging these values into the formula, we get:
Volume = π * (6.1 cm)^2 * 13.8 cm
First, let's calculate the value of the radius squared (r^2).
r^2 = (6.1 cm)^2 = 37.21 cm^2
Now, substitute this value into the initial formula:
Volume = π * (37.21 cm^2) * 13.8 cm
Finally, we can calculate the volume by multiplying these values:
Volume ≈ 3.14159 * 37.21 cm^2 * 13.8 cm
≈ 1614.82 cm^3
Therefore, the volume of the candle is approximately 1614.82 cubic centimeters.
Volume = πr2h
Volume = π(6.1 cm)2(13.8 cm)
Volume = 2,845.9 cm3