The volume of a cone (s) of height 6cm and base radius 5cm is

Assessment: JAMB UTME - Mathematics - 2015 Subject: General Mathematics

Question 1 Report

The volume of a cone (s) of height 6cm and base radius 5cm is
Answer Details
The formula for the volume of a cone is given by: V = (1/3)πr²h where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is a constant value of approximately 3.14. Substituting the given values into the formula, we have: V = (1/3)π(5cm)²(6cm) Simplifying this expression, we get: V = (1/3)π(25cm²)(6cm) V = (1/3)π(150cm³) V = 50π cm³ Using a calculator to approximate π to two decimal places (π ≈ 3.14), we have: V ≈ 157 cm³ Therefore, the correct option is: 157cm3

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