In this lesson, we will learn how to identify the exterior angles of a polygon and find their sum.

Q1:

A right circular cone has height 90 cm and slant height 106 cm. Find the circumference and area of the base in terms of π .

Q2:

A right circular cone has height 76 cm and slant height 95 cm. Find the circumference and area of the base in terms of π .

Q3:

The radius of the base of a right circular cone is 27 cm and its slant height is 38 cm. What, in terms of π , is its total surface area?

Q4:

The radius of the base of a right circular cone is 13 cm and its slant height is 27 cm. What, in terms of π , is its total surface area?

Q5:

Determine, to the nearest hundredth, the total surface area of the cone shown.

Q6:

Q7:

Find, in terms of π , the lateral area of a right cone with base radius 9 cm and height 13 cm.

Q8:

Find, in terms of π , the lateral area of a right cone with base radius 16 cm and height 14 cm.

Q9:

Find, to the nearest hundredth, the total surface area of the given cone.

Q10:

Q11:

A right circular cone has base diameter 10 cm and height 12 cm. Determine the total surface area to the nearest tenth.

Q12:

Given that the height of the shown cone is 88 cm, and s i n π = 3 5 , determine the surface area of the cone in terms of π .

Q13:

Given that the height of the shown cone is 92 cm, and s i n π = 3 5 , determine the surface area of the cone in terms of π .

Q14:

Find the total surface area of the right cone approximated to the nearest two decimal places.

Q15:

A right cone has slant height 35 cm and surface area 4 5 0 π cm^{2}. What is the radius of its base?

Q16:

A right cone has slant height 39 cm and surface area 6 7 6 π cm^{2}. What is the radius of its base?

Q17:

Find, to the nearest tenth, the lateral area of a cone with a diameter of 40 centimeters and a slant height of 29 centimeters.

Q18:

Find, to the nearest tenth, the surface area of a cone with an altitude of 76 feet and a slant height of 95 feet.

Q19:

Two similar cones have radii of 13 millimeters and 26 millimeters. What is the ratio of the surface area of the small cone to the surface area of the large one?

Q20:

Two similar cones have radii of 5 millimeters and 10 millimeters. What is the ratio of the surface area of the small cone to the surface area of the large one?

Q21:

Two similar cones have radii of 7 millimeters and 22 millimeters. What is the ratio of the surface area of the small cone to the surface area of the large one?

Q22:

π΄ π΅ πΆ is an equilateral triangle of side length π . Given that it turned one complete revolution about π΅ πΆ , determine the lateral area of the solid generated by the rotation in terms of π and π .

Q23:

A conical lampshade is 31 cm high and has a base of circumference 145.2 cm. Find its surface area to the nearest square centimeter.

Q24:

Find the surface area of the given cone to the nearest tenth.

Q25:

Find, to the nearest tenth, the surface area of this cone.

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