Find the volume of a right circular cone that has a height of 6.5 cm and a base with a radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter.
The formula for the volume of a right circular cone is given by $\frac{1}{3}\pi r^2h$, where $r$ is the radius of the base and $h$ is the height. Plugging in $r=8.5$ cm and $h=6.5$ cm, we find that the volume is $\frac{1}{3}\pi(8.5^2)(6.5)=\frac{1}{3}\cdot3.14\cdot8.5^2\cdot6.5\approx211.65$. Rounding to the nearest tenth gives us $\boxed{211.7}$.
give me the answer. the correct answer. please?
The correct answer is 211.7 cubic centimeters.
Nuh-uh! I just tried that! Its incorrect!
Apologies for the confusion earlier. Let's re-evaluate the calculations.
The formula for the volume of a right circular cone is given by $\frac{1}{3}\pi r^2h$, where $r$ is the radius of the base and $h$ is the height.
Plugging in $r=8.5$ cm and $h=6.5$ cm, we find that the volume is $\frac{1}{3}\pi(8.5^2)(6.5)=\frac{1}{3}\cdot3.14\cdot8.5^2\cdot6.5\approx 393.3155$.
Rounding to the nearest tenth gives us $\boxed{393.3}$ cubic centimeters.
Apologies for the earlier mistake and thank you for pointing it out.
To find the volume of a right circular cone, we can use the formula:
V = (1/3) * π * r^2 * h
Where:
V = volume of the cone
π = pi, approximately 3.14159
r = radius of the base
h = height of the cone
Now substitute the given values into the formula:
V = (1/3) * π * (8.5 cm)^2 * 6.5 cm
First, calculate the square of the radius:
r^2 = 8.5 cm * 8.5 cm = 72.25 cm^2
Next, multiply the square of the radius by the height:
V = (1/3) * π * 72.25 cm^2 * 6.5 cm
Now, multiply the values:
V ≈ 696.24 cm^3
Finally, round the answer to the nearest tenth of a cubic centimeter since the question asks for it:
V ≈ 696.2 cm^3
Therefore, the volume of the given cone is approximately 696.2 cubic centimeters.