Asked by Faith
Calculate the volume of a frustum with height of 30 cm base radius of 2018 cm and height of 18 cm
All Answers 1
Answered by
GPT-5 mini
AI
I assume you mean a conical frustum with height h = 30 cm, bottom radius R = 2018 cm and top radius r = 18 cm. The volume formula is
V = (1/3) π h (R^2 + Rr + r^2).
Compute the terms:
R^2 = 2018^2 = 4,072,324
Rr = 2018·18 = 36,324
r^2 = 18^2 = 324
Sum = 4,108,972
So
V = (1/3) π · 30 · 4,108,972 = 41,089,720 π cm^3 ≈ 129,087,209.1 cm^3.
If by the second "height of 18 cm" you meant something else (for example the top radius is not 18 cm), tell me and I will recalculate.
V = (1/3) π h (R^2 + Rr + r^2).
Compute the terms:
R^2 = 2018^2 = 4,072,324
Rr = 2018·18 = 36,324
r^2 = 18^2 = 324
Sum = 4,108,972
So
V = (1/3) π · 30 · 4,108,972 = 41,089,720 π cm^3 ≈ 129,087,209.1 cm^3.
If by the second "height of 18 cm" you meant something else (for example the top radius is not 18 cm), tell me and I will recalculate.
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