Cylinders Volume and Surface Area

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

• 27,143.36 ft³

• 3392.92 ft³

• 13,571.68 ft³

• 6,785.84 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A company is producing wheels of cheese to distribute. If the cheese wheel has a diameter of 8 in and a height of 5 in, calculate the amount of paper needed to wrap the one wheel of cheese.

A soup can has a radius of 2.5 inches and a height of 5 inches. How much paper is needed to make a label along the curved surface area of the can?

Show algebraically the ratio between the volume and surface area. Make sure you simplify the two.

What advice would you give to the Soda company for manufacturing the soda can - flatter and fatter or slimmer and taller? (hint: find what gives you lesser surface area)

How many milliliters will fit into a can with the given measurement.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is surface area?

• Inside of the object

• The sum of all the areas of all the shapes that cover the surface of the object.

• Something Mrs. MacGregor made up?

• Surface area is what you get when you boil unicorn tears. 

Find the total surface area of the cylinder.

• 471.24 square centimeters

• 157.08 square centimeters

• 314.16 square centimeters

• 296.72 square centimeters

• 45.2

• 100.5

• 55.3

• 155.7

Find the surface area of a cylinder with a radius of 4 and a height of 3. Use 3.14 for π

• 175.84 mm²

• 709.89 mm²

• 75.36 mm²

• 100.48 mm²