FINDING DIMENSIONS OF CONE WORKSHEET

Find length of radius of the following cones given below.

Problem 1 :

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Problem 2 :

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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

Solution

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

Finding Slant Height

Find slant height of the following cones given below.

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

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Problem 6 :

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Problem 7 :

Find the volume of the cone 

Solution

Problem 8 :

find the missing dimension(s) when Volume = 75.4 cm³

Solution

Problem 9 :

A cone has a diameter of 11.5 inches and a slant height of 15.2 inches

Solution

Problem 10 :

A right cone-shaped funnel has a height of 8 centimeters and a diameter of 4.8 centimeters. Find the volume of the cone and slant height.

Solution

Problem 11 :

A cone has height h and a base with radius r. You want to change the cone so its volume is doubled. What is the new height if you change only the height ? What is the new radius if you change only radius ?

Solution

Problem 12 :

A glass in the shape of a right cone has a diameter of 3.3 inches and a slant height of 5.5 inches. Find the height of the cone.

Solution

Find each part. All bases are regular.

Problem 1 :

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Problem 2 :

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Problem 3 :

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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 8 :

A cereal box has the dimensions shown.

a. Find the surface area of the cereal box.

b. The manufacturer decides to decrease the size of the box by reducing each of the dimensions by 1 inch. Find the decrease in surface area.

Solution