Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to the nearest tenth of a cubic inch.
To find the volume of a right circular cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Given that the height (h) of the cone is 7.4 in and the diameter (d) of the base is 5.4 in, the radius (r) can be found by dividing the diameter by 2:
r = d/2 = 5.4/2 = 2.7 in
Substituting the values into the formula:
Volume = (1/3) * π * 2.7^2 * 7.4
Calculating this expression, we find:
Volume ≈ 20.99 cubic inches
Rounded to the nearest tenth, the volume of the cone is approximately 21.0 cubic inches.
thats wrong bot you have to find in^3
Apologies for the confusion. The volume needs to be expressed in cubic inches. In the previous calculation we already used inches as the unit of measurement, so the result is already in cubic inches.
Therefore, the volume of the right circular cone is approximately 20.99 cubic inches (rounded to the nearest tenth of a cubic inch).
To find the volume of a right circular cone, you can use the formula: V = (1/3)πr^2h, where V is the volume, r is the radius of the base, and h is the height.
Given that the diameter of the base is 5.4 inches, we can find the radius by dividing the diameter by 2: r = 5.4 / 2 = 2.7 inches.
Now we can substitute the values into the formula: V = (1/3)π(2.7)^2(7.4).
First, square the radius: V = (1/3)π(7.29)(7.4).
Next, multiply by π: V = (1/3)(22/7)(7.29)(7.4).
Now multiply the fraction (1/3) with (7.29)(7.4): V = (7/3)(7.29)(7.4).
The volume is approximately V = 176.719 cubic inches.
Since we need to round the answer to the nearest tenth of a cubic inch, the final answer is V ≈ 176.7 cubic inches.