Neco Model Questions Vol1 2019 Mathematics Question 25

Practice objective / multiple choice question 25 from the 2019 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Hard Difficulty
Question 25 NECO_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

An inverted right circular cone has height \(H = 12\) m and top radius \(R = 6\) m. Initially water fills the cone to a depth of \(4\) m from the vertex. A solid right circular cylinder of radius \(2\) m and height \(6\) m is placed coaxially at the bottom of the cone, fully submerged. Assuming no water overflows, find the new water depth (from the vertex) and give the percentage increase in the water depth relative to the original depth, rounded to the nearest whole percent.

Answer Options

A. New depth ≈ 5.90 m, percentage increase ≈ 48 %
B. New depth ≈ 8.20 m, percentage increase ≈ 105 %
C. New depth ≈ 6.45 m, percentage increase ≈ 61 %
Correct Answer D. New depth ≈ 7.03 m, percentage increase ≈ 76 %
Correct Answer
D
Correct Option:
New depth ≈ 7.03 m, percentage increase ≈ 76 %

About This Question

This is Neco Model Questions Vol1 2019 Mathematics Question 25. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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