A solid right circular cone has a base radius of 21cm and a slant height of 35 cm (AE). A smaller right circular cone has a height of 12cm (AF) and a slant height of 15cm (AB), and is removed from the top of the larger cone, as shown in the diagram. a. Calculate the radius of the base of the cone which has been removed. b. Calculate the curved surface area of the cone which has been removed. c. Calculate the curved surface area of the remaining solid.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
basic measurement question (see attached image)
A solid right circular cone has a base radius of 21cm and a slant height of 35 cm (AE). A smaller right
circular cone has a height of 12cm (AF) and a slant height of 15cm (AB), and is removed from the top of
the larger cone, as shown in the diagram.
a. Calculate the radius of the base of the cone which has been removed.
b. Calculate the curved surface area of the cone which has been removed.
c. Calculate the curved surface area of the remaining solid.
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