Find the volume of a cone with a height of 7m and a base diameter of 12m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.12m7m
Question
Find the volume of a cone with a height of 7m and a base diameter of 12m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.12m7m
Solution
To find the volume of a cone, you can use the formula: V = 1/3 * π * r² * h
Where:
- V is the volume of the cone
- r is the radius of the base of the cone
- h is the height of the cone
- π is a mathematical constant whose approximate value is 3.14
Given that the diameter of the base of the cone is 12m, the radius (r) would be half of the diameter, which is 6m.
The height (h) of the cone is given as 7m.
Substituting these values into the formula gives:
V = 1/3 * 3.14 * (6m)² * 7m V = 1/3 * 3.14 * 36m² * 7m V = 1/3 * 3.14 * 252m³ V = 264m³
So, the volume of the cone is 264 cubic meters (m³).
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