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Worksheet: Lateral and Total Surface Areas of the Cone

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 .

  • Acircumference , area
  • Bcircumference , area
  • Ccircumference , area
  • Dcircumference , area

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 .

  • Acircumference , area
  • Bcircumference , area
  • Ccircumference , area
  • Dcircumference , area

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 , is its total surface area?

  • A
  • B
  • C
  • D

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 , is its total surface area?

  • A
  • B
  • C
  • D

Q5:

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

Q6:

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

Q7:

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

  • A cm2
  • B cm2
  • C cm2
  • D cm2

Q8:

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

  • A cm2
  • B cm2
  • C cm2
  • D cm2

Q9:

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

Q10:

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

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 , determine the surface area of the cone in terms of .

  • A cm2
  • B cm2
  • C cm2
  • D cm2

Q13:

Given that the height of the shown cone is 92 cm, and , determine the surface area of the cone in terms of .

  • A cm2
  • B cm2
  • C cm2
  • D cm2

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 cm2. What is the radius of its base?

Q16:

A right cone has slant height 39 cm and surface area cm2. 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?

  • A
  • B4
  • C2
  • D

Q20:

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?

  • A
  • B
  • C
  • D
  • E

Q21:

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 and .

  • A
  • B
  • C
  • D
  • E

Q22:

The dimensions of two canvas tepees, which are cone shaped, are shown in the table. Not including the floors, find how much more canvas is used to make tepee than tepee rounded to the nearest tenth.

Tepee
Diameter 8 10
Height 6 7

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.

  • A
    2 251
    cm2
  • B
    5 614
    cm2
  • C 826 cm2
  • D
    2 807
    cm2
  • E
    4 501
    cm2