First, we need to clarify that the given "radius" of the cone is actually the volume of the cone, which is expressed in cubic millimeters (mm³), not the traditional measure of radius in millimeters (mm).
To find the radius (r) of the cone, we need to use the formula for the volume of a cone:
V = 1/3 * π * r² * h
where V is the volume, π (pi) is a constant approximately equal to 3.14, r is the radius, and h is the height.
Plugging in the given values, we have:
167 mm³ = 1/3 * π * r² * 10 mm
Multiplying both sides by 3/π and dividing by 10 mm, we get:
r² = (167 mm³ * 3)/(10 mm * π)
r² ≈ 16.8 mm² (rounded to one decimal place)
Taking the square root of both sides, we get:
r ≈ 4.1 mm (rounded to one decimal place)
Therefore, the radius of the cone is approximately 4.1 millimeters.
The radius of a cone is 167 mm³ in the height is 10 mm find the radius of the cone
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