To find the volume of a frustum of a cone, you can use the formula:
V = (1/3)πh(R^2 + r^2 + Rr)
Where:
V = Volume of the frustum of the cone
h = Height of the frustum of the cone
R = Radius of the bottom base of the frustum of the cone
r = Radius of the top base of the frustum of the cone
π = Pi (approximately 3.14159)
Given:
Height (h) = 5 cm
Radius of bottom base (R) = 7 cm
Radius of top base (r) = 4 cm
Substituting the given values into the formula, we get:
V = (1/3)π(5)(7^2 + 4^2 + 7*4)
V = (1/3)π(5)(49 + 16 + 28)
V = (1/3)π(5)(93)
V = (5/3)π(93)
V ≈ 154.77 cm³
Therefore, the volume of the frustum of the cone is approximately 154.77 cm³.
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