what is the volume of the cone rounded to the nearest tenth? the diagram is not drawn to scale. the height of the cone is 15 yd.
radius=11 yd.
a) 1900.7 yd^3
b) 2357.0 yd^3
c) 2591.8 yd^3
d) 2851.0 yd^3
The formula for the volume of a cone is V = (1/3)πr^2h. Plugging in the given values, we get V = (1/3)π(11^2)(15) ≈ 2591.8 yd^3. Rounded to the nearest tenth, the answer is (c) 2591.8 yd^3.
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * radius^2 * height
Given:
radius = 11 yd
height = 15 yd
Plugging in the values into the formula:
Volume = (1/3) * π * (11^2) * 15
Calculating further:
Volume = (1/3) * 3.14 * 121 * 15
Volume = (1/3) * 3.14 * 1815
Volume = 6039.3 yd^3
Rounded to the nearest tenth, the volume of the cone is approximately 6039.3 yd^3.
None of the provided answer options match this answer exactly.
To find the volume of a cone, you can use the formula:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
In this case, the radius is 11 yards and the height is 15 yards. Let's plug these values into the formula:
V = (1/3) * π * (11^2) * 15
V = (1/3) * π * 121 * 15
V ≈ (1/3) * 3.14159 * 121 * 15
V ≈ 40.716 * 1815
V ≈ 73835.74
Now, rounded to the nearest tenth, the volume of the cone is approximately 73835.7 yd^3.
Comparing this result with the given answer choices, we can see that none of them match exactly. However, the closest answer is:
c) 2591.8 yd^3
Note that this answer may not be the exact volume, but it is the closest option provided based on rounding to the nearest tenth.