SURFACE AREA OF CONE WORKSHEET

Find 

(i) Lateral surface area

(ii)  Total surface area of the following cones given below.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

The cone and cube below have the same surface areas. Workout the side length of cube x.

Solution

Problem 5 :

A paper cup shaped like a cone and has a diameter of 6 cm and slant height of 7.5 cm. How much paper is need to make the cup ?

Solution

Problem 6 :

The roof is shaped like a cone with the diameter of 12 feet. One bundle of shingles cover 32 square feet. How many bundles should you buy to cover the roof.

Solution

Problem 7 :

Two Florida Atlantic University stickers are placed on opposite sides of megaphone. Estimate the percent of the surface area of the megaphone covered by the stickers. Round the answer to the nearest percent.

Solution

Problem 8 :

Total surface area of a cone whose radius as p/2 and slant height as 2l is:

(a) 2πp(l + p)                       (b) πp(l + (p/4))

(c)  πp(l + p)                         (d) 2πpl

Solution

Problem 9 :

If the slant height of a cone 12 cm and radius of the base is 14 cm, then the total surface area is.

Solution

Problem 10 :

The radius and height of a cone are in the ratio 4:3. The area of the base is 154 cm². Find the curved surface area.

Solution

Problem 11 :

There are two cones, the curved surface area of one cone is twice that of the other. The slant height of later is twice that of the former. Find the ratio of their radii.

Solution