# Worksheet: Finding the Lateral and the Total Surface Area of a Cone

Q1:

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

Q2:

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

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

The radius of the base of a right circular cone is 7 cm and its slant height is 46 cm. What, in terms of , is its total surface area?

• A
• B
• C
• D

Q11:

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

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 60 cm, and , determine the surface area of the cone in terms of .

• A cm2
• B cm2
• C cm2
• D cm2

Q14:

A right cone has slant height 35 cm and surface area cm2. What is the radius of its base?

Q15:

A right cone has slant height 39 cm and surface area cm2. What is the radius of its base?

Q16:

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

Q17:

A conical lampshade is 28 cm high and has a base of circumference 149.6 cm. Find its surface area to the nearest square centimeter.

• A
2 094
cm2
• B
5 498
cm2
• C 797 cm2
• D
2 749
cm2
• E
4 189
cm2