Find the height of cone with radius = 14 cm and volume = 1848 cm3
Question
Find the height of cone with radius = 14 cm and volume = 1848 cm3
Solution
The volume V of a cone is given by the formula V = 1/3 * π * r² * h, where r is the radius and h is the height.
We can rearrange this formula to solve for h:
h = V / (1/3 * π * r²)
Substituting the given values:
h = 1848 cm³ / (1/3 * π * (14 cm)²)
h = 1848 cm³ / (1/3 * π * 196 cm²)
h = 1848 cm³ / 65.45 cm²
h ≈ 28.26 cm
So, the height of the cone is approximately 28.26 cm.
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