10.
Find the volume of the cone shown. Use 3.14 for π.
The answer is rounded to the nearest tenth.
8 in by 2 in
16.7
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�
3
16.7in
3
100.5
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�
3
100.5in
3
25.5
�
�
3
25.5in
3
33.5
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�
3
33.5in
3
The correct answer is missing as there is no image or specific measurements provided for the cone.
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
In this case, we're given that the radius is 8 inches and the height is 2 inches.
First, let's calculate the volume:
V = (1/3)π(8^2)(2)
V = (1/3)π(64)(2)
V = (1/3)(3.14)(64)(2)
V = (1/3)(3.14)(128)
V = (3.14)(42.67)
V ≈ 133.95 cubic inches
Rounded to the nearest tenth, the volume of the cone is approximately 133.9 cubic inches.
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where π is approximately equal to 3.14, r is the radius of the base of the cone, and h is the height of the cone.
In this case, we're given that the cone has a base with a radius of 8 inches (r = 8) and a height of 2 inches (h = 2).
To calculate the volume, substitute these values into the formula:
V = (1/3) * 3.14 * 8^2 * 2
Simplifying further:
V = (1/3) * 3.14 * 64 * 2
V = (1/3) * 3.14 * 128
V = 3.14 * 42.67
V ≈ 133.88
Rounding this to the nearest tenth gives us:
V ≈ 133.9 cubic inches
Therefore, the volume of the cone is approximately 133.9 cubic inches.