SURFACE AREA AND VOLUME OF CONES AND PYRAMIDS WORKSHEET

Find each part. All bases are regular.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Jill made a popcorn container that is shaped like a cone. The diameter of the opening is 8 inches and the height is 9 inches. What is the volume of the popcorn container?

Solution

Problem 5 :

The lateral area of a cone is 48π in². The radius of the base is 12 in. Find the slant height.

Solution

Problem 6 :

The volume of a square pyramid is 600 in³. The height of the pyramid is 8 in. what is the length of each base edge?

Solution

Problem 7 :

A square pyramid has a slant height of 25 m and a lateral area of 350 m². which is the closest to the volume?

a)  392 m³   b) 1176 m³   c) 404 m³   d) 1225 m³

Solution

Problem 1 :

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 2 :

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 3 :

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 4 :

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 5 :

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 6 :

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 7 :

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

Related Pages

• Find the volume of pyramid
• Volume of square pyramid
• Surface area of square base pyramid