Find the volume of cylinder, cones, prism and sphere.

Consider the figure made of cone and a hemisphere. What is the volume of the figure shown? (Use 3.14 as an approximation of pi.)

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Water from a cylindrical jar 8 inches high with a radius of 4 inches is poured into hemispherical bowls with radii of 2 inches. How many bowls are required to empty the cylindrical jar?

• 12 bowls

• 24 bowls

• 36 bowls

• 48 bowls

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A cylindrical decorative glass has an inner diameter of 5 cm and an outer diameter of 6 cm, and the bottom of the glass is cm thick. The glass is 15 cm tall. What is the maximum volume of liquid the glass can contain?

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A gift wrapper completely covers a spherical ball using a total area of 72 square inches of wrapping paper. What is the maximum volume of the ball covered? (Use 3.14 as an approximation of pi.)

• 28.73 cubic inches

• 57.46 cubic inches

• 114.92 cubic inches

• 162.53 cubic inches

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A storage shed is shown in the drawing with dimensions given in feet (ft). What is the volume of the storage shed?

• 190 cubic feet

• 210 cubic feet

• 240 cubic feet

• 360 cubic feet

Tags

CCSS.5.MD.C.5C

Roberto's mother loves to bake cakes and pastries. Roberto buys his mother a new 8-inch round cake pan for her birthday. His brother buys her an accompanying pan that is half of the height. If the pan diameters remain the same, how will the change in height affect the volume of the smaller cake pan?

• The volume of the smaller cake pan will be 1/4 the volume of the larger cake pan.

• The volume of the smaller cake pan will be 1/2 the volume of the larger cake pan.

• The volume of the smaller cake pan will be the same as the volume of the larger cake pan.

• The volume of the smaller cake pan will be 2 times the volume of the larger cake pan.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The pyramid shown has a height of 10 cm. What is the approximate volume of the pyramid?

Tags

CCSS.HSG.GMD.A.3

Jiao is looking for a place to store her jewelry. She finds 2 glass containers to choose from. One is cylindrical with a height of 10 inches and a diameter of 8 inches. The second is cone-shaped glass that is 1.5 times the height of the cylinder but half the size of the diameter. Which statement is the best comparison of volume for the 2 containers?

• The cylindrical container holds less jewelry than that of the cone-shaped container.

• The cylindrical container can hold twice the amount of jewelry compared to the cone-shaped container.

• The cylindrical container can hold 4 times the amount of jewelry compared to the cone-shaped container.

• The cylindrical container can hold 8 times the amount of jewelry compared to the cone-shaped container.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Gerald has a punch bowl in the shape of a hemisphere as shown below. One cup is equivalent to approximately 14.44 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?

• 290 cups

• 145 cups

• 36 cups

• 18 cups

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Which objects can be best modeled as rectangular prism?

• brick and cereal box

• football

• paint can

• telephone pole

Tags

CCSS.HSG.MG.A.1