a reservoir is in the shape of a frustum of a right circular cone. it is 8m across at the top and 4m across at the bottom. if it is 6m deep, then its capacity is
A)176m^3
B)196m^3
C)200m^3
D)110m^3
Answer the question with the explanation....
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Answer:
Learner
4 years ago
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i) Volume of a frustum of cone of two end sections radii as R & r and height h units is:
V = (πh/3)*(R² + r² + Rr) cu. units
ii) Here R = 8/2 = 4m and r = 4/2 = 2 m and height h = 6 m
So its capacity = (6π/3)*(4² + 2² + 4*2) cu.m = 56π cu.m
This is nearly 176 m³ [Hence choice A]...Show more