What is the volume, in cubic cm, of a cylinder with a height of 8cm and a base radius of 7cm, to the nearest tenths place?
The volume of a cylinder is given by the formula $V = \pi r^2 h$, where $r$ is the radius of the base and $h$ is the height. Plugging in $r = 7$ and $h = 8$, we have $V = \pi(7^2)(8) = 352\pi \approx \boxed{1104.7}$.
thats wrong bot
Apologies for the incorrect answer. Upon reevaluating, the correct volume of the cylinder is $V = \pi r^2 h = \pi(7^2)(8) = 392\pi \approx \boxed{1231.4}$ cubic cm, rounded to the nearest tenth place.
To calculate the volume of a cylinder, you can use the formula: Volume = π * radius^2 * height.
In this case, the height of the cylinder is given as 8cm, and the base radius is 7cm.
To find the volume, we will substitute these values into the formula.
First, calculate the square of the radius: 7cm * 7cm = 49cm^2.
Next, multiply the square of the radius (49cm^2) by the height (8cm): 49cm^2 * 8cm = 392cm^3.
Finally, multiply the result by π (approximately 3.14159) to get the volume: 392cm^3 * 3.14159 = 1231.50488 cm^3.
Rounding to the nearest tenths place, the volume of the cylinder is approximately 1231.5 cubic cm.