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 :

The cylinder and cone has the same surface area. Express L in terms of x.

Solution

Problem 9 :

A cone and cylinder are joined to make a solid. Find the total surface area.

Solution

Problem 10 :

You design a party hat. You attach a piece of elastic along a diameter.

(a) How long is the elastic?

(b) How much paper do you need to make the hat?

Solution

Problem 1 :

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 2 :

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 3 :

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 4 :

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

Problem 5 :

How much material is needed to make the Nón Lá Vietnamese leaf hat? Find the height.

Problem 6 :

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

Solution

Problem 7 :

The total surface area of the cone is 100𝛑 square meters and radius is 5 m. What is the slant height of the cone.

Solution

Problem 8 :

A right cone has a base radius of 4 m and a height of 10 m. Calculate the surface area of this cone to the nearest square meter

Solution

Problem 9 :

Aiden built a cone-shaped volcano for a school science project. The volcano has a base diameter of 32 cm and a slant height of 45 cm.

a) What is the lateral area of the volcano to the nearest tenth of a square centimeter?

b) The paint for the volcano’s surface costs $1.99 jar, and one jar of paint covers 400 cm². How much will the paint cost?

Solution

Find length of radius of the following cones given below.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

The cylinder and cone has the same surface area. Express L in terms of x.

Solution

Problem 4 :

A cone and cylinder are joined to make a solid

Find the total surface area of the solid.

Solution

Problem 5 :

You are making a skylight that has 12 triangular pieces of glass and a slant height of 3 feet. Each triangular piece has a base of 1 foot

Solution

Problem 6 :

A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6 cm and its height is 4 cm. find the cost of painting the toy at the rate of dollar, 5 per 1000 cm².

Solution

Problem 7 :

The cone and cube below have the same surface areas. Work out the side length of the cube.

Solution

Problem 8 :

The diagram shows a solid shape. The shape is a cone on top of a cylinder. Work out the surface area of the shape. Give your answer correct to 2 significant

Problem 9 :

A cone has a radius of 9 cm. The surface area of the cone is 450 π cm² Work out the volume of the cone. Give your answer in terms of π

Solution

Problem 10 :

The diagram shows a solid shape. The shape is a cone on top of a hemisphere. Work out the surface area of the shape. Give your answer correct to 2 significant figure.

Solution