Neco 2023 Mathematics Question 30

Practice objective / multiple choice question 30 from the 2023 Neco Mathematics examination.

Neco 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 30 NECO • 2023 • MATHEMATICS • objective

A right circular cone is inscribed in a sphere of radius \(13\) cm such that the vertex of the cone is at the north pole of the sphere and the base of the cone lies in a plane parallel to the equatorial plane.\n\n(a) Find the height \(h\) of the cone that gives the maximum possible volume.\n(b) Compute this maximum volume. Give your answers in exact form.

Answer Options

A. Height h = 26/3 cm; Maximum volume = (35152/81)π cm³
Correct Answer B. Height h = 52/3 cm; Maximum volume = (70304/81)π cm³
C. Height h = 20 cm; Maximum volume = 800π cm³
D. Height h = 13 cm; Maximum volume = (2197/3)π cm³
Correct Answer
B
Correct Option:
Height h = 52/3 cm; Maximum volume = (70304/81)π cm³

About This Question

This is Neco 2023 Mathematics Question 30. It is one of the objective questions from the 2023 Neco Mathematics examination.

Difficulty level: Hard .

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