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In this lesson, we will learn how to find the lateral and total surface areas of a cone using the formula.
Determine, to the nearest hundredth, the total surface area of the cone shown.
A right circular cone has base diameter 10 cm and height 12 cm. Determine the total surface area to the nearest tenth.
A right circular cone has height 90 cm and slant height 106 cm. Find the circumference and area of the base in terms of
The radius of the base of a right circular cone is 27 cm and its slant height is 38 cm.
What, in terms of
, is its total surface area?
Find, to the nearest hundredth, the total surface area of the given cone.
A conical lampshade is 31 cm high and has a base of circumference 145.2 cm. Find its surface area to the nearest square centimetre.
Find, in terms of
, the lateral area of a right cone with base radius
9 cm and height
Given that the height of the shown cone is 88 cm,
, determine the surface area of the cone in terms of
Find the total surface area of the right cone approximated to the nearest two decimal places.
A right cone has slant height 35 cm
and surface area
What is the radius of its base?
Find, to the nearest tenth, the lateral area of a cone with a diameter of 40 centimetres and a slant height of 29 centimetres.
Find, to the nearest tenth, the surface area of a cone with an altitude of
76 feet and a slant height of
Two similar cones have radii of 5 millimetres and 10 millimetres. What is the ratio of the surface area of the small cone to the surface area of the large one?
is an equilateral triangle of side length
Given that it turned one complete revolution about
, determine the lateral area of the solid generated by the rotation in terms of
Find the surface area of the given cone to the nearest tenth.
Find, to the nearest tenth, the surface area of this cone.
A piece of paper in the shape of a circular sector having a radius of 72 cm and an angle of
is folded in a way so that the points
meet to form a circular cone of the greatest possible area. Determine the cone’s height to the nearest hundredth.
A conical mountain has a radius of 1.5 km and a perpendicular height of 0.5 km. Determine the lateral area of the mountain to one decimal place.
Determine, to the nearest square centimetre, the surface area of a right cone whose slant height is 73 cm
and height is 61 cm.
The surface area of a cone is
and the radius of the base is 13 inches. Determine
the slant height of the cone.
A sheet of paper in the shape of a sector of radius 29 cm
cm2 is folded into a right cone, by
gluing together the radii
What is the height of the cone? Recall that the sector area is given by half the product of
its radius and the length of its arc.
Karim cuts a slit in a circular piece of paper and then rolls it into a cone so that
the sides of the cone are two sheets thick. What is the apex angle of the cone?
A circular sector of radius 135 and angle
is folded into a right circular cone. What
is the height of this cone?
Two similar cones have surface areas of 768 and 363.
What is the ratio of the height of the larger cone to that of the smaller one?
Given that the following net describes a solid of volume
cm3 and that the length of
cm, determine its total surface area in terms of
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