The total surface area of a right circular cone is

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

704\,\text{cm}^2

, and its slant height is

25\,\text{cm}

. Use

\pi=\dfrac{22}{7}

. (i) Obtain an equation in the base radius

r

of the cone using the given information. (ii) Determine the radius

r

of the base. (iii) Hence calculate the vertical height

h

of the cone. (iv) Find the volume of the cone correct to the nearest cubic centimetre.