Surface Area and Volume of Cylinder

The net of a right cylinder with the given dimensions is shown below. What is the surface area of the cylinder?

• A) 120π ft²

• B) 156π ft²

• C) 288π ft²

• D) 324π ft²

A right cylinder has the diameter and height shown below. What is the approximate volume of the cylinder? Use 3.14 for π.

• A) 176.6 cm³

• B) 210.9 cm³

• C) 662.3 cm³

• D) 843.8 cm³

A cylindrical cup holds 502.6 cm³ of liquid. If the radius of the cup is 4 cm, what is the approximate height of the cup? Use 3.14 for π.

• A) 10 cm

• B) 20 cm

• C) 40 cm

• D) 80 cm

The net of an open right cylinder is shown below. What is the approximate surface area of the cylinder to the nearest tenth of a square inch? Use 3.14 for π.

(a)  

A cookie tin is in the shape of a right circular cylinder. The tin has a height of 3 inches and a diameter of 8 inches. Not including the lid, what is the approximate amount of material needed to construct the tin rounded to the nearest tenth of a square inch? Use 3.14 for π.

(a)  

A farmer is preparing to paint the outside of a grain silo that has a cylindrical base and a hemispherical top. The height and radius of the silo are shown in the diagram. If only the outside of the cylindrical base will be painted, how many square feet of area will the farmer paint in terms of π?

Mathematical Equivalence

OFF

• 720
• 2592
• 360
• 1440
• 1800
• 2160

A glass rod is the shape of a right cylinder. The rod has a radius of 7 mm and a total surface area of 1,246π mm². What is the length of the rod?

(a)  

A cylindrical tank at a water treatment facility has the dimensions shown below. What is the maximum amount of water the tank can hold rounded to the nearest cubic meter? Use 3.14 for π.

(a)  

A flower vase is an open right cylinder. The radius of the base is 2.5 inches, and the height is 10.5 inches. What are the approximate surface area and volume of the cylinder rounded to the nearest tenth of an inch? Use 3.14 for π.

Surface area is ​ (a)   Volume is​ (b)  

• 184.5
• 206.1
• 184.6
• 185.5
• 183.8
• 187.2